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Finding the Third Proportional to 151,729 and 227,983

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Solution

The third proportional to 151,729 and 227,983 is: 342,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,729 : 227,983 = 227,983 : x
  2. Step 2: Convert to fraction form
    151,729/227,983 = 227,983/x
  3. Step 3: Cross multiply
    151,729x = 227,983 × 227,983
  4. Step 4: Simplify right side
    151,729x = 51,976,248,289
  5. Step 5: Solve for x
    x = 51,976,248,289/151,729
  6. Step 6: Final answer
    x = 342,559.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.