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Finding the Third Proportional to 151,538 and 227,307

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Solution

The third proportional to 151,538 and 227,307 is: 340,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,538 : 227,307 = 227,307 : x
  2. Step 2: Convert to fraction form
    151,538/227,307 = 227,307/x
  3. Step 3: Cross multiply
    151,538x = 227,307 × 227,307
  4. Step 4: Simplify right side
    151,538x = 51,668,472,249
  5. Step 5: Solve for x
    x = 51,668,472,249/151,538
  6. Step 6: Final answer
    x = 340,960.50

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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.