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Finding the Third Proportional to 130,278.38 and 195,417.56

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Solution

The third proportional to 130,278.38 and 195,417.56 is: 293,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,278.38 : 195,417.56 = 195,417.56 : x
  2. Step 2: Convert to fraction form
    130,278.38/195,417.56 = 195,417.56/x
  3. Step 3: Cross multiply
    130,278.38x = 195,417.56 × 195,417.56
  4. Step 4: Simplify right side
    130,278.38x = 38,188,023,733.44
  5. Step 5: Solve for x
    x = 38,188,023,733.44/130,278.38
  6. Step 6: Final answer
    x = 293,126.34

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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.