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Finding the Third Proportional to 151,850 and 332,302

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Solution

The third proportional to 151,850 and 332,302 is: 727,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,850 : 332,302 = 332,302 : x
  2. Step 2: Convert to fraction form
    151,850/332,302 = 332,302/x
  3. Step 3: Cross multiply
    151,850x = 332,302 × 332,302
  4. Step 4: Simplify right side
    151,850x = 110,424,619,204
  5. Step 5: Solve for x
    x = 110,424,619,204/151,850
  6. Step 6: Final answer
    x = 727,195.38

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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.