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Finding the Third Proportional to 154,855.13 and 227,164.92

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Solution

The third proportional to 154,855.13 and 227,164.92 is: 333,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,855.13 : 227,164.92 = 227,164.92 : x
  2. Step 2: Convert to fraction form
    154,855.13/227,164.92 = 227,164.92/x
  3. Step 3: Cross multiply
    154,855.13x = 227,164.92 × 227,164.92
  4. Step 4: Simplify right side
    154,855.13x = 51,603,901,730.47
  5. Step 5: Solve for x
    x = 51,603,901,730.47/154,855.13
  6. Step 6: Final answer
    x = 333,239.87

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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.