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Finding the Third Proportional to 151,889 and 332,372

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Solution

The third proportional to 151,889 and 332,372 is: 727,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,889 : 332,372 = 332,372 : x
  2. Step 2: Convert to fraction form
    151,889/332,372 = 332,372/x
  3. Step 3: Cross multiply
    151,889x = 332,372 × 332,372
  4. Step 4: Simplify right side
    151,889x = 110,471,146,384
  5. Step 5: Solve for x
    x = 110,471,146,384/151,889
  6. Step 6: Final answer
    x = 727,314.99

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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.