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Finding the Third Proportional to 200.44 and 260.25

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Solution

The third proportional to 200.44 and 260.25 is: 337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.44 : 260.25 = 260.25 : x
  2. Step 2: Convert to fraction form
    200.44/260.25 = 260.25/x
  3. Step 3: Cross multiply
    200.44x = 260.25 × 260.25
  4. Step 4: Simplify right side
    200.44x = 67,730.06
  5. Step 5: Solve for x
    x = 67,730.06/200.44
  6. Step 6: Final answer
    x = 337.91

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.