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Finding the Third Proportional to 116,524.50 and 252,489

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Solution

The third proportional to 116,524.50 and 252,489 is: 547,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,524.50 : 252,489 = 252,489 : x
  2. Step 2: Convert to fraction form
    116,524.50/252,489 = 252,489/x
  3. Step 3: Cross multiply
    116,524.50x = 252,489 × 252,489
  4. Step 4: Simplify right side
    116,524.50x = 63,750,695,121
  5. Step 5: Solve for x
    x = 63,750,695,121/116,524.50
  6. Step 6: Final answer
    x = 547,101.21

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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.