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Finding the Third Proportional to 223,417.13 and 337,211.72

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Solution

The third proportional to 223,417.13 and 337,211.72 is: 508,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,417.13 : 337,211.72 = 337,211.72 : x
  2. Step 2: Convert to fraction form
    223,417.13/337,211.72 = 337,211.72/x
  3. Step 3: Cross multiply
    223,417.13x = 337,211.72 × 337,211.72
  4. Step 4: Simplify right side
    223,417.13x = 113,711,743,262.33
  5. Step 5: Solve for x
    x = 113,711,743,262.33/223,417.13
  6. Step 6: Final answer
    x = 508,966.10

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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.