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Finding the Third Proportional to 130,251.50 and 283,831

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Solution

The third proportional to 130,251.50 and 283,831 is: 618,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,251.50 : 283,831 = 283,831 : x
  2. Step 2: Convert to fraction form
    130,251.50/283,831 = 283,831/x
  3. Step 3: Cross multiply
    130,251.50x = 283,831 × 283,831
  4. Step 4: Simplify right side
    130,251.50x = 80,560,036,561
  5. Step 5: Solve for x
    x = 80,560,036,561/130,251.50
  6. Step 6: Final answer
    x = 618,496.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.