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Finding the Third Proportional to 206,948.25 and 454,538.25

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Solution

The third proportional to 206,948.25 and 454,538.25 is: 998,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,948.25 : 454,538.25 = 454,538.25 : x
  2. Step 2: Convert to fraction form
    206,948.25/454,538.25 = 454,538.25/x
  3. Step 3: Cross multiply
    206,948.25x = 454,538.25 × 454,538.25
  4. Step 4: Simplify right side
    206,948.25x = 206,605,020,713.06
  5. Step 5: Solve for x
    x = 206,605,020,713.06/206,948.25
  6. Step 6: Final answer
    x = 998,341.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.