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Finding the Third Proportional to 103,628 and 226,984

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Solution

The third proportional to 103,628 and 226,984 is: 497,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 226,984 = 226,984 : x
  2. Step 2: Convert to fraction form
    103,628/226,984 = 226,984/x
  3. Step 3: Cross multiply
    103,628x = 226,984 × 226,984
  4. Step 4: Simplify right side
    103,628x = 51,521,736,256
  5. Step 5: Solve for x
    x = 51,521,736,256/103,628
  6. Step 6: Final answer
    x = 497,179.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.