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Finding the Third Proportional to 146,734 and 233,234

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Solution

The third proportional to 146,734 and 233,234 is: 370,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,734 : 233,234 = 233,234 : x
  2. Step 2: Convert to fraction form
    146,734/233,234 = 233,234/x
  3. Step 3: Cross multiply
    146,734x = 233,234 × 233,234
  4. Step 4: Simplify right side
    146,734x = 54,398,098,756
  5. Step 5: Solve for x
    x = 54,398,098,756/146,734
  6. Step 6: Final answer
    x = 370,725.93

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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.