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Finding the Third Proportional to 151,156 and 225,944

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Solution

The third proportional to 151,156 and 225,944 is: 337,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156 : 225,944 = 225,944 : x
  2. Step 2: Convert to fraction form
    151,156/225,944 = 225,944/x
  3. Step 3: Cross multiply
    151,156x = 225,944 × 225,944
  4. Step 4: Simplify right side
    151,156x = 51,050,691,136
  5. Step 5: Solve for x
    x = 51,050,691,136/151,156
  6. Step 6: Final answer
    x = 337,735.13

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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.