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Finding the Third Proportional to 117.82 and 257.00

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Solution

The third proportional to 117.82 and 257.00 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 257.00 = 257.00 : x
  2. Step 2: Convert to fraction form
    117.82/257.00 = 257.00/x
  3. Step 3: Cross multiply
    117.82x = 257.00 × 257.00
  4. Step 4: Simplify right side
    117.82x = 66,049.50
  5. Step 5: Solve for x
    x = 66,049.50/117.82
  6. Step 6: Final answer
    x = 560.59

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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.