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Finding the Third Proportional to 131,584.50 and 283,854.38

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Solution

The third proportional to 131,584.50 and 283,854.38 is: 612,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584.50 : 283,854.38 = 283,854.38 : x
  2. Step 2: Convert to fraction form
    131,584.50/283,854.38 = 283,854.38/x
  3. Step 3: Cross multiply
    131,584.50x = 283,854.38 × 283,854.38
  4. Step 4: Simplify right side
    131,584.50x = 80,573,306,206.64
  5. Step 5: Solve for x
    x = 80,573,306,206.64/131,584.50
  6. Step 6: Final answer
    x = 612,331.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.