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Finding the Third Proportional to 151,474.50 and 234,534.75

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Solution

The third proportional to 151,474.50 and 234,534.75 is: 363,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,474.50 : 234,534.75 = 234,534.75 : x
  2. Step 2: Convert to fraction form
    151,474.50/234,534.75 = 234,534.75/x
  3. Step 3: Cross multiply
    151,474.50x = 234,534.75 × 234,534.75
  4. Step 4: Simplify right side
    151,474.50x = 55,006,548,957.56
  5. Step 5: Solve for x
    x = 55,006,548,957.56/151,474.50
  6. Step 6: Final answer
    x = 363,140.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.