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Finding the Third Proportional to 200.25 and 297.56

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Solution

The third proportional to 200.25 and 297.56 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 297.56 = 297.56 : x
  2. Step 2: Convert to fraction form
    200.25/297.56 = 297.56/x
  3. Step 3: Cross multiply
    200.25x = 297.56 × 297.56
  4. Step 4: Simplify right side
    200.25x = 88,543.44
  5. Step 5: Solve for x
    x = 88,543.44/200.25
  6. Step 6: Final answer
    x = 442.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.