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Finding the Third Proportional to 147,344.38 and 225,244.86

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Solution

The third proportional to 147,344.38 and 225,244.86 is: 344,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,344.38 : 225,244.86 = 225,244.86 : x
  2. Step 2: Convert to fraction form
    147,344.38/225,244.86 = 225,244.86/x
  3. Step 3: Cross multiply
    147,344.38x = 225,244.86 × 225,244.86
  4. Step 4: Simplify right side
    147,344.38x = 50,735,248,434.59
  5. Step 5: Solve for x
    x = 50,735,248,434.59/147,344.38
  6. Step 6: Final answer
    x = 344,331.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.