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Finding the Third Proportional to 146,073.38 and 218,527.88

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Solution

The third proportional to 146,073.38 and 218,527.88 is: 326,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,073.38 : 218,527.88 = 218,527.88 : x
  2. Step 2: Convert to fraction form
    146,073.38/218,527.88 = 218,527.88/x
  3. Step 3: Cross multiply
    146,073.38x = 218,527.88 × 218,527.88
  4. Step 4: Simplify right side
    146,073.38x = 47,754,432,152.02
  5. Step 5: Solve for x
    x = 47,754,432,152.02/146,073.38
  6. Step 6: Final answer
    x = 326,920.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.