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Finding the Third Proportional to 176.94 and 229.38

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Solution

The third proportional to 176.94 and 229.38 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 229.38 = 229.38 : x
  2. Step 2: Convert to fraction form
    176.94/229.38 = 229.38/x
  3. Step 3: Cross multiply
    176.94x = 229.38 × 229.38
  4. Step 4: Simplify right side
    176.94x = 52,612.89
  5. Step 5: Solve for x
    x = 52,612.89/176.94
  6. Step 6: Final answer
    x = 297.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.