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Finding the Third Proportional to 103,812.75 and 226,384.88

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Solution

The third proportional to 103,812.75 and 226,384.88 is: 493,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,812.75 : 226,384.88 = 226,384.88 : x
  2. Step 2: Convert to fraction form
    103,812.75/226,384.88 = 226,384.88/x
  3. Step 3: Cross multiply
    103,812.75x = 226,384.88 × 226,384.88
  4. Step 4: Simplify right side
    103,812.75x = 51,250,111,628.77
  5. Step 5: Solve for x
    x = 51,250,111,628.77/103,812.75
  6. Step 6: Final answer
    x = 493,678.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.