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Finding the Third Proportional to 176.88 and 345.88

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Solution

The third proportional to 176.88 and 345.88 is: 676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 345.88 = 345.88 : x
  2. Step 2: Convert to fraction form
    176.88/345.88 = 345.88/x
  3. Step 3: Cross multiply
    176.88x = 345.88 × 345.88
  4. Step 4: Simplify right side
    176.88x = 119,629.52
  5. Step 5: Solve for x
    x = 119,629.52/176.88
  6. Step 6: Final answer
    x = 676.35

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.