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Finding the Third Proportional to 151,062 and 331,948

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Solution

The third proportional to 151,062 and 331,948 is: 729,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,062 : 331,948 = 331,948 : x
  2. Step 2: Convert to fraction form
    151,062/331,948 = 331,948/x
  3. Step 3: Cross multiply
    151,062x = 331,948 × 331,948
  4. Step 4: Simplify right side
    151,062x = 110,189,474,704
  5. Step 5: Solve for x
    x = 110,189,474,704/151,062
  6. Step 6: Final answer
    x = 729,432.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.