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Finding the Third Proportional to 177,662 and 234,741

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Solution

The third proportional to 177,662 and 234,741 is: 310,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,662 : 234,741 = 234,741 : x
  2. Step 2: Convert to fraction form
    177,662/234,741 = 234,741/x
  3. Step 3: Cross multiply
    177,662x = 234,741 × 234,741
  4. Step 4: Simplify right side
    177,662x = 55,103,337,081
  5. Step 5: Solve for x
    x = 55,103,337,081/177,662
  6. Step 6: Final answer
    x = 310,158.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.