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Finding the Third Proportional to 117 and 256.75

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Solution

The third proportional to 117 and 256.75 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 256.75 = 256.75 : x
  2. Step 2: Convert to fraction form
    117/256.75 = 256.75/x
  3. Step 3: Cross multiply
    117x = 256.75 × 256.75
  4. Step 4: Simplify right side
    117x = 65,920.56
  5. Step 5: Solve for x
    x = 65,920.56/117
  6. Step 6: Final answer
    x = 563.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.