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Finding the Third Proportional to 149,673.38 and 321,490.13

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Solution

The third proportional to 149,673.38 and 321,490.13 is: 690,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,673.38 : 321,490.13 = 321,490.13 : x
  2. Step 2: Convert to fraction form
    149,673.38/321,490.13 = 321,490.13/x
  3. Step 3: Cross multiply
    149,673.38x = 321,490.13 × 321,490.13
  4. Step 4: Simplify right side
    149,673.38x = 103,355,900,472.52
  5. Step 5: Solve for x
    x = 103,355,900,472.52/149,673.38
  6. Step 6: Final answer
    x = 690,542.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.