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Finding the Third Proportional to 207.25 and 363.50

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Solution

The third proportional to 207.25 and 363.50 is: 637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 363.50 = 363.50 : x
  2. Step 2: Convert to fraction form
    207.25/363.50 = 363.50/x
  3. Step 3: Cross multiply
    207.25x = 363.50 × 363.50
  4. Step 4: Simplify right side
    207.25x = 132,132.25
  5. Step 5: Solve for x
    x = 132,132.25/207.25
  6. Step 6: Final answer
    x = 637.55

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.