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Finding the Third Proportional to 71,524.13 and 155,338.88

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Solution

The third proportional to 71,524.13 and 155,338.88 is: 337,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524.13 : 155,338.88 = 155,338.88 : x
  2. Step 2: Convert to fraction form
    71,524.13/155,338.88 = 155,338.88/x
  3. Step 3: Cross multiply
    71,524.13x = 155,338.88 × 155,338.88
  4. Step 4: Simplify right side
    71,524.13x = 24,130,166,086.27
  5. Step 5: Solve for x
    x = 24,130,166,086.27/71,524.13
  6. Step 6: Final answer
    x = 337,371.01

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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.