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Finding the Third Proportional to 140,981 and 332,688

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Solution

The third proportional to 140,981 and 332,688 is: 785,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,981 : 332,688 = 332,688 : x
  2. Step 2: Convert to fraction form
    140,981/332,688 = 332,688/x
  3. Step 3: Cross multiply
    140,981x = 332,688 × 332,688
  4. Step 4: Simplify right side
    140,981x = 110,681,305,344
  5. Step 5: Solve for x
    x = 110,681,305,344/140,981
  6. Step 6: Final answer
    x = 785,079.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.