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Finding the Third Proportional to 151,882 and 332,356

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Solution

The third proportional to 151,882 and 332,356 is: 727,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,882 : 332,356 = 332,356 : x
  2. Step 2: Convert to fraction form
    151,882/332,356 = 332,356/x
  3. Step 3: Cross multiply
    151,882x = 332,356 × 332,356
  4. Step 4: Simplify right side
    151,882x = 110,460,510,736
  5. Step 5: Solve for x
    x = 110,460,510,736/151,882
  6. Step 6: Final answer
    x = 727,278.48

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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.