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Finding the Third Proportional to 151,306 and 227,611

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Solution

The third proportional to 151,306 and 227,611 is: 342,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,306 : 227,611 = 227,611 : x
  2. Step 2: Convert to fraction form
    151,306/227,611 = 227,611/x
  3. Step 3: Cross multiply
    151,306x = 227,611 × 227,611
  4. Step 4: Simplify right side
    151,306x = 51,806,767,321
  5. Step 5: Solve for x
    x = 51,806,767,321/151,306
  6. Step 6: Final answer
    x = 342,397.31

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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.