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Finding the Third Proportional to 182.88 and 256.88

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Solution

The third proportional to 182.88 and 256.88 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 256.88 = 256.88 : x
  2. Step 2: Convert to fraction form
    182.88/256.88 = 256.88/x
  3. Step 3: Cross multiply
    182.88x = 256.88 × 256.88
  4. Step 4: Simplify right side
    182.88x = 65,984.77
  5. Step 5: Solve for x
    x = 65,984.77/182.88
  6. Step 6: Final answer
    x = 360.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.