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Finding the Third Proportional to 149,632 and 328,784

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Solution

The third proportional to 149,632 and 328,784 is: 722,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,632 : 328,784 = 328,784 : x
  2. Step 2: Convert to fraction form
    149,632/328,784 = 328,784/x
  3. Step 3: Cross multiply
    149,632x = 328,784 × 328,784
  4. Step 4: Simplify right side
    149,632x = 108,098,918,656
  5. Step 5: Solve for x
    x = 108,098,918,656/149,632
  6. Step 6: Final answer
    x = 722,431.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.