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Finding the Third Proportional to 155,251.13 and 227,764.13

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Solution

The third proportional to 155,251.13 and 227,764.13 is: 334,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,251.13 : 227,764.13 = 227,764.13 : x
  2. Step 2: Convert to fraction form
    155,251.13/227,764.13 = 227,764.13/x
  3. Step 3: Cross multiply
    155,251.13x = 227,764.13 × 227,764.13
  4. Step 4: Simplify right side
    155,251.13x = 51,876,496,637.02
  5. Step 5: Solve for x
    x = 51,876,496,637.02/155,251.13
  6. Step 6: Final answer
    x = 334,145.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.