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Finding the Third Proportional to 200.88 and 252.38

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Solution

The third proportional to 200.88 and 252.38 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 252.38 = 252.38 : x
  2. Step 2: Convert to fraction form
    200.88/252.38 = 252.38/x
  3. Step 3: Cross multiply
    200.88x = 252.38 × 252.38
  4. Step 4: Simplify right side
    200.88x = 63,693.14
  5. Step 5: Solve for x
    x = 63,693.14/200.88
  6. Step 6: Final answer
    x = 317.08

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.