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Finding the Third Proportional to 151,808 and 332,648

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Solution

The third proportional to 151,808 and 332,648 is: 728,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,808 : 332,648 = 332,648 : x
  2. Step 2: Convert to fraction form
    151,808/332,648 = 332,648/x
  3. Step 3: Cross multiply
    151,808x = 332,648 × 332,648
  4. Step 4: Simplify right side
    151,808x = 110,654,691,904
  5. Step 5: Solve for x
    x = 110,654,691,904/151,808
  6. Step 6: Final answer
    x = 728,912.13

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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.