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Finding the Third Proportional to 130,337.44 and 191,278.13

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Solution

The third proportional to 130,337.44 and 191,278.13 is: 280,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,337.44 : 191,278.13 = 191,278.13 : x
  2. Step 2: Convert to fraction form
    130,337.44/191,278.13 = 191,278.13/x
  3. Step 3: Cross multiply
    130,337.44x = 191,278.13 × 191,278.13
  4. Step 4: Simplify right side
    130,337.44x = 36,587,321,103.52
  5. Step 5: Solve for x
    x = 36,587,321,103.52/130,337.44
  6. Step 6: Final answer
    x = 280,712.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.