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Finding the Third Proportional to 151,832 and 332,140

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Solution

The third proportional to 151,832 and 332,140 is: 726,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,832 : 332,140 = 332,140 : x
  2. Step 2: Convert to fraction form
    151,832/332,140 = 332,140/x
  3. Step 3: Cross multiply
    151,832x = 332,140 × 332,140
  4. Step 4: Simplify right side
    151,832x = 110,316,979,600
  5. Step 5: Solve for x
    x = 110,316,979,600/151,832
  6. Step 6: Final answer
    x = 726,572.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.