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Finding the Third Proportional to 175.38 and 261.13

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Solution

The third proportional to 175.38 and 261.13 is: 388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 261.13 = 261.13 : x
  2. Step 2: Convert to fraction form
    175.38/261.13 = 261.13/x
  3. Step 3: Cross multiply
    175.38x = 261.13 × 261.13
  4. Step 4: Simplify right side
    175.38x = 68,186.27
  5. Step 5: Solve for x
    x = 68,186.27/175.38
  6. Step 6: Final answer
    x = 388.80

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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.