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Finding the Third Proportional to 151,862 and 332,344

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Solution

The third proportional to 151,862 and 332,344 is: 727,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,862 : 332,344 = 332,344 : x
  2. Step 2: Convert to fraction form
    151,862/332,344 = 332,344/x
  3. Step 3: Cross multiply
    151,862x = 332,344 × 332,344
  4. Step 4: Simplify right side
    151,862x = 110,452,534,336
  5. Step 5: Solve for x
    x = 110,452,534,336/151,862
  6. Step 6: Final answer
    x = 727,321.74

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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.