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Finding the Third Proportional to 198,939.38 and 407,070.56

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Solution

The third proportional to 198,939.38 and 407,070.56 is: 832,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,939.38 : 407,070.56 = 407,070.56 : x
  2. Step 2: Convert to fraction form
    198,939.38/407,070.56 = 407,070.56/x
  3. Step 3: Cross multiply
    198,939.38x = 407,070.56 × 407,070.56
  4. Step 4: Simplify right side
    198,939.38x = 165,706,442,854.07
  5. Step 5: Solve for x
    x = 165,706,442,854.07/198,939.38
  6. Step 6: Final answer
    x = 832,949.45

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.