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Finding the Third Proportional to 176.98 and 256.92

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Solution

The third proportional to 176.98 and 256.92 is: 372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.98 : 256.92 = 256.92 : x
  2. Step 2: Convert to fraction form
    176.98/256.92 = 256.92/x
  3. Step 3: Cross multiply
    176.98x = 256.92 × 256.92
  4. Step 4: Simplify right side
    176.98x = 66,008.85
  5. Step 5: Solve for x
    x = 66,008.85/176.98
  6. Step 6: Final answer
    x = 372.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.