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Finding the Third Proportional to 151,176.38 and 225,974.81

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Solution

The third proportional to 151,176.38 and 225,974.81 is: 337,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,176.38 : 225,974.81 = 225,974.81 : x
  2. Step 2: Convert to fraction form
    151,176.38/225,974.81 = 225,974.81/x
  3. Step 3: Cross multiply
    151,176.38x = 225,974.81 × 225,974.81
  4. Step 4: Simplify right side
    151,176.38x = 51,064,615,884.41
  5. Step 5: Solve for x
    x = 51,064,615,884.41/151,176.38
  6. Step 6: Final answer
    x = 337,781.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.