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Finding the Third Proportional to 146,966 and 227,151

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Solution

The third proportional to 146,966 and 227,151 is: 351,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,966 : 227,151 = 227,151 : x
  2. Step 2: Convert to fraction form
    146,966/227,151 = 227,151/x
  3. Step 3: Cross multiply
    146,966x = 227,151 × 227,151
  4. Step 4: Simplify right side
    146,966x = 51,597,576,801
  5. Step 5: Solve for x
    x = 51,597,576,801/146,966
  6. Step 6: Final answer
    x = 351,085.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.