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Finding the Third Proportional to 177,195.75 and 272,356.13

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Solution

The third proportional to 177,195.75 and 272,356.13 is: 418,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,195.75 : 272,356.13 = 272,356.13 : x
  2. Step 2: Convert to fraction form
    177,195.75/272,356.13 = 272,356.13/x
  3. Step 3: Cross multiply
    177,195.75x = 272,356.13 × 272,356.13
  4. Step 4: Simplify right side
    177,195.75x = 74,177,858,825.02
  5. Step 5: Solve for x
    x = 74,177,858,825.02/177,195.75
  6. Step 6: Final answer
    x = 418,620.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.