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Finding the Third Proportional to 110.38 and 260.94

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Solution

The third proportional to 110.38 and 260.94 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 260.94 = 260.94 : x
  2. Step 2: Convert to fraction form
    110.38/260.94 = 260.94/x
  3. Step 3: Cross multiply
    110.38x = 260.94 × 260.94
  4. Step 4: Simplify right side
    110.38x = 68,088.38
  5. Step 5: Solve for x
    x = 68,088.38/110.38
  6. Step 6: Final answer
    x = 616.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.