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Finding the Third Proportional to 103,718 and 226,210

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Solution

The third proportional to 103,718 and 226,210 is: 493,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,718 : 226,210 = 226,210 : x
  2. Step 2: Convert to fraction form
    103,718/226,210 = 226,210/x
  3. Step 3: Cross multiply
    103,718x = 226,210 × 226,210
  4. Step 4: Simplify right side
    103,718x = 51,170,964,100
  5. Step 5: Solve for x
    x = 51,170,964,100/103,718
  6. Step 6: Final answer
    x = 493,366.28

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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.