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Finding the Third Proportional to 160,736.25 and 242,562.75

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Solution

The third proportional to 160,736.25 and 242,562.75 is: 366,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,736.25 : 242,562.75 = 242,562.75 : x
  2. Step 2: Convert to fraction form
    160,736.25/242,562.75 = 242,562.75/x
  3. Step 3: Cross multiply
    160,736.25x = 242,562.75 × 242,562.75
  4. Step 4: Simplify right side
    160,736.25x = 58,836,687,687.56
  5. Step 5: Solve for x
    x = 58,836,687,687.56/160,736.25
  6. Step 6: Final answer
    x = 366,044.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.