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Finding the Third Proportional to 208,082.25 and 454,691.25

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Solution

The third proportional to 208,082.25 and 454,691.25 is: 993,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.25 : 454,691.25 = 454,691.25 : x
  2. Step 2: Convert to fraction form
    208,082.25/454,691.25 = 454,691.25/x
  3. Step 3: Cross multiply
    208,082.25x = 454,691.25 × 454,691.25
  4. Step 4: Simplify right side
    208,082.25x = 206,744,132,826.56
  5. Step 5: Solve for x
    x = 206,744,132,826.56/208,082.25
  6. Step 6: Final answer
    x = 993,569.29

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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.