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Finding the Third Proportional to 131,865.47 and 283,755.66

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Solution

The third proportional to 131,865.47 and 283,755.66 is: 610,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,865.47 : 283,755.66 = 283,755.66 : x
  2. Step 2: Convert to fraction form
    131,865.47/283,755.66 = 283,755.66/x
  3. Step 3: Cross multiply
    131,865.47x = 283,755.66 × 283,755.66
  4. Step 4: Simplify right side
    131,865.47x = 80,517,272,453.87
  5. Step 5: Solve for x
    x = 80,517,272,453.87/131,865.47
  6. Step 6: Final answer
    x = 610,601.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.