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Finding the Third Proportional to 223,747.31 and 338,871.09

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Solution

The third proportional to 223,747.31 and 338,871.09 is: 513,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,747.31 : 338,871.09 = 338,871.09 : x
  2. Step 2: Convert to fraction form
    223,747.31/338,871.09 = 338,871.09/x
  3. Step 3: Cross multiply
    223,747.31x = 338,871.09 × 338,871.09
  4. Step 4: Simplify right side
    223,747.31x = 114,833,618,179.32
  5. Step 5: Solve for x
    x = 114,833,618,179.32/223,747.31
  6. Step 6: Final answer
    x = 513,229.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.