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Finding the Third Proportional to 206,642.25 and 297,634.50

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Solution

The third proportional to 206,642.25 and 297,634.50 is: 428,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.25 : 297,634.50 = 297,634.50 : x
  2. Step 2: Convert to fraction form
    206,642.25/297,634.50 = 297,634.50/x
  3. Step 3: Cross multiply
    206,642.25x = 297,634.50 × 297,634.50
  4. Step 4: Simplify right side
    206,642.25x = 88,586,295,590.25
  5. Step 5: Solve for x
    x = 88,586,295,590.25/206,642.25
  6. Step 6: Final answer
    x = 428,694.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.