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Finding the Third Proportional to 151,447.50 and 220,119.75

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Solution

The third proportional to 151,447.50 and 220,119.75 is: 319,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,447.50 : 220,119.75 = 220,119.75 : x
  2. Step 2: Convert to fraction form
    151,447.50/220,119.75 = 220,119.75/x
  3. Step 3: Cross multiply
    151,447.50x = 220,119.75 × 220,119.75
  4. Step 4: Simplify right side
    151,447.50x = 48,452,704,340.06
  5. Step 5: Solve for x
    x = 48,452,704,340.06/151,447.50
  6. Step 6: Final answer
    x = 319,930.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.