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Finding the Third Proportional to 117.47 and 175.41

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Solution

The third proportional to 117.47 and 175.41 is: 261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 175.41 = 175.41 : x
  2. Step 2: Convert to fraction form
    117.47/175.41 = 175.41/x
  3. Step 3: Cross multiply
    117.47x = 175.41 × 175.41
  4. Step 4: Simplify right side
    117.47x = 30,767.35
  5. Step 5: Solve for x
    x = 30,767.35/117.47
  6. Step 6: Final answer
    x = 261.92

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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.