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Finding the Third Proportional to 177,660.75 and 234,739.13

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Solution

The third proportional to 177,660.75 and 234,739.13 is: 310,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,660.75 : 234,739.13 = 234,739.13 : x
  2. Step 2: Convert to fraction form
    177,660.75/234,739.13 = 234,739.13/x
  3. Step 3: Cross multiply
    177,660.75x = 234,739.13 × 234,739.13
  4. Step 4: Simplify right side
    177,660.75x = 55,102,456,805.77
  5. Step 5: Solve for x
    x = 55,102,456,805.77/177,660.75
  6. Step 6: Final answer
    x = 310,155.49

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