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Finding the Third Proportional to 157,805.72 and 338,221.83

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Solution

The third proportional to 157,805.72 and 338,221.83 is: 724,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,805.72 : 338,221.83 = 338,221.83 : x
  2. Step 2: Convert to fraction form
    157,805.72/338,221.83 = 338,221.83/x
  3. Step 3: Cross multiply
    157,805.72x = 338,221.83 × 338,221.83
  4. Step 4: Simplify right side
    157,805.72x = 114,394,005,020.22
  5. Step 5: Solve for x
    x = 114,394,005,020.22/157,805.72
  6. Step 6: Final answer
    x = 724,904.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.