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Finding the Third Proportional to 130,686.75 and 283,500.75

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Solution

The third proportional to 130,686.75 and 283,500.75 is: 615,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,686.75 : 283,500.75 = 283,500.75 : x
  2. Step 2: Convert to fraction form
    130,686.75/283,500.75 = 283,500.75/x
  3. Step 3: Cross multiply
    130,686.75x = 283,500.75 × 283,500.75
  4. Step 4: Simplify right side
    130,686.75x = 80,372,675,250.56
  5. Step 5: Solve for x
    x = 80,372,675,250.56/130,686.75
  6. Step 6: Final answer
    x = 615,002.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.