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Finding the Third Proportional to 147,531.38 and 220,659.19

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Solution

The third proportional to 147,531.38 and 220,659.19 is: 330,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,531.38 : 220,659.19 = 220,659.19 : x
  2. Step 2: Convert to fraction form
    147,531.38/220,659.19 = 220,659.19/x
  3. Step 3: Cross multiply
    147,531.38x = 220,659.19 × 220,659.19
  4. Step 4: Simplify right side
    147,531.38x = 48,690,477,028.16
  5. Step 5: Solve for x
    x = 48,690,477,028.16/147,531.38
  6. Step 6: Final answer
    x = 330,034.73

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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.