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Finding the Third Proportional to 144,229.50 and 315,604

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Solution

The third proportional to 144,229.50 and 315,604 is: 690,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,229.50 : 315,604 = 315,604 : x
  2. Step 2: Convert to fraction form
    144,229.50/315,604 = 315,604/x
  3. Step 3: Cross multiply
    144,229.50x = 315,604 × 315,604
  4. Step 4: Simplify right side
    144,229.50x = 99,605,884,816
  5. Step 5: Solve for x
    x = 99,605,884,816/144,229.50
  6. Step 6: Final answer
    x = 690,606.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.