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Finding the Third Proportional to 151,916 and 332,438

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Solution

The third proportional to 151,916 and 332,438 is: 727,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,916 : 332,438 = 332,438 : x
  2. Step 2: Convert to fraction form
    151,916/332,438 = 332,438/x
  3. Step 3: Cross multiply
    151,916x = 332,438 × 332,438
  4. Step 4: Simplify right side
    151,916x = 110,515,023,844
  5. Step 5: Solve for x
    x = 110,515,023,844/151,916
  6. Step 6: Final answer
    x = 727,474.55

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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.