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Finding the Third Proportional to 245,791.97 and 332,082.28

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Solution

The third proportional to 245,791.97 and 332,082.28 is: 448,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,791.97 : 332,082.28 = 332,082.28 : x
  2. Step 2: Convert to fraction form
    245,791.97/332,082.28 = 332,082.28/x
  3. Step 3: Cross multiply
    245,791.97x = 332,082.28 × 332,082.28
  4. Step 4: Simplify right side
    245,791.97x = 110,278,641,520.20
  5. Step 5: Solve for x
    x = 110,278,641,520.20/245,791.97
  6. Step 6: Final answer
    x = 448,666.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.