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Finding the Third Proportional to 130,132.50 and 283,350

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Solution

The third proportional to 130,132.50 and 283,350 is: 616,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,132.50 : 283,350 = 283,350 : x
  2. Step 2: Convert to fraction form
    130,132.50/283,350 = 283,350/x
  3. Step 3: Cross multiply
    130,132.50x = 283,350 × 283,350
  4. Step 4: Simplify right side
    130,132.50x = 80,287,222,500
  5. Step 5: Solve for x
    x = 80,287,222,500/130,132.50
  6. Step 6: Final answer
    x = 616,965.19

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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.