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Finding the Third Proportional to 151,822 and 227,031

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Solution

The third proportional to 151,822 and 227,031 is: 339,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,822 : 227,031 = 227,031 : x
  2. Step 2: Convert to fraction form
    151,822/227,031 = 227,031/x
  3. Step 3: Cross multiply
    151,822x = 227,031 × 227,031
  4. Step 4: Simplify right side
    151,822x = 51,543,074,961
  5. Step 5: Solve for x
    x = 51,543,074,961/151,822
  6. Step 6: Final answer
    x = 339,496.75

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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.