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Finding the Third Proportional to 156,496 and 332,384

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Solution

The third proportional to 156,496 and 332,384 is: 705,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,496 : 332,384 = 332,384 : x
  2. Step 2: Convert to fraction form
    156,496/332,384 = 332,384/x
  3. Step 3: Cross multiply
    156,496x = 332,384 × 332,384
  4. Step 4: Simplify right side
    156,496x = 110,479,123,456
  5. Step 5: Solve for x
    x = 110,479,123,456/156,496
  6. Step 6: Final answer
    x = 705,954.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.