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Finding the Third Proportional to 146,730 and 233,227

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Solution

The third proportional to 146,730 and 233,227 is: 370,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,730 : 233,227 = 233,227 : x
  2. Step 2: Convert to fraction form
    146,730/233,227 = 233,227/x
  3. Step 3: Cross multiply
    146,730x = 233,227 × 233,227
  4. Step 4: Simplify right side
    146,730x = 54,394,833,529
  5. Step 5: Solve for x
    x = 54,394,833,529/146,730
  6. Step 6: Final answer
    x = 370,713.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.