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Finding the Third Proportional to 117.70 and 256.92

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Solution

The third proportional to 117.70 and 256.92 is: 560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 256.92 = 256.92 : x
  2. Step 2: Convert to fraction form
    117.70/256.92 = 256.92/x
  3. Step 3: Cross multiply
    117.70x = 256.92 × 256.92
  4. Step 4: Simplify right side
    117.70x = 66,008.85
  5. Step 5: Solve for x
    x = 66,008.85/117.70
  6. Step 6: Final answer
    x = 560.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.