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Finding the Third Proportional to 176.08 and 235.17

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Solution

The third proportional to 176.08 and 235.17 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 235.17 = 235.17 : x
  2. Step 2: Convert to fraction form
    176.08/235.17 = 235.17/x
  3. Step 3: Cross multiply
    176.08x = 235.17 × 235.17
  4. Step 4: Simplify right side
    176.08x = 55,304.43
  5. Step 5: Solve for x
    x = 55,304.43/176.08
  6. Step 6: Final answer
    x = 314.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.