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Finding the Third Proportional to 151,912 and 332,414

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Solution

The third proportional to 151,912 and 332,414 is: 727,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,912 : 332,414 = 332,414 : x
  2. Step 2: Convert to fraction form
    151,912/332,414 = 332,414/x
  3. Step 3: Cross multiply
    151,912x = 332,414 × 332,414
  4. Step 4: Simplify right side
    151,912x = 110,499,067,396
  5. Step 5: Solve for x
    x = 110,499,067,396/151,912
  6. Step 6: Final answer
    x = 727,388.67

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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.