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Finding the Third Proportional to 151,305.38 and 227,611.13

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Solution

The third proportional to 151,305.38 and 227,611.13 is: 342,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,305.38 : 227,611.13 = 227,611.13 : x
  2. Step 2: Convert to fraction form
    151,305.38/227,611.13 = 227,611.13/x
  3. Step 3: Cross multiply
    151,305.38x = 227,611.13 × 227,611.13
  4. Step 4: Simplify right side
    151,305.38x = 51,806,824,223.77
  5. Step 5: Solve for x
    x = 51,806,824,223.77/151,305.38
  6. Step 6: Final answer
    x = 342,399.10

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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.