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Finding the Third Proportional to 177,825.75 and 272,659.50

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Solution

The third proportional to 177,825.75 and 272,659.50 is: 418,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,825.75 : 272,659.50 = 272,659.50 : x
  2. Step 2: Convert to fraction form
    177,825.75/272,659.50 = 272,659.50/x
  3. Step 3: Cross multiply
    177,825.75x = 272,659.50 × 272,659.50
  4. Step 4: Simplify right side
    177,825.75x = 74,343,202,940.25
  5. Step 5: Solve for x
    x = 74,343,202,940.25/177,825.75
  6. Step 6: Final answer
    x = 418,067.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.