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Finding the Third Proportional to 151,711.88 and 218,535.75

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Solution

The third proportional to 151,711.88 and 218,535.75 is: 314,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,711.88 : 218,535.75 = 218,535.75 : x
  2. Step 2: Convert to fraction form
    151,711.88/218,535.75 = 218,535.75/x
  3. Step 3: Cross multiply
    151,711.88x = 218,535.75 × 218,535.75
  4. Step 4: Simplify right side
    151,711.88x = 47,757,874,028.06
  5. Step 5: Solve for x
    x = 47,757,874,028.06/151,711.88
  6. Step 6: Final answer
    x = 314,793.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.