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Finding the Third Proportional to 151,438 and 227,522

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Solution

The third proportional to 151,438 and 227,522 is: 341,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,438 : 227,522 = 227,522 : x
  2. Step 2: Convert to fraction form
    151,438/227,522 = 227,522/x
  3. Step 3: Cross multiply
    151,438x = 227,522 × 227,522
  4. Step 4: Simplify right side
    151,438x = 51,766,260,484
  5. Step 5: Solve for x
    x = 51,766,260,484/151,438
  6. Step 6: Final answer
    x = 341,831.38

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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.