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Finding the Third Proportional to 148,727 and 324,532

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Solution

The third proportional to 148,727 and 324,532 is: 708,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,727 : 324,532 = 324,532 : x
  2. Step 2: Convert to fraction form
    148,727/324,532 = 324,532/x
  3. Step 3: Cross multiply
    148,727x = 324,532 × 324,532
  4. Step 4: Simplify right side
    148,727x = 105,321,019,024
  5. Step 5: Solve for x
    x = 105,321,019,024/148,727
  6. Step 6: Final answer
    x = 708,149.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.