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Finding the Third Proportional to 176.88 and 233.94

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Solution

The third proportional to 176.88 and 233.94 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 233.94 = 233.94 : x
  2. Step 2: Convert to fraction form
    176.88/233.94 = 233.94/x
  3. Step 3: Cross multiply
    176.88x = 233.94 × 233.94
  4. Step 4: Simplify right side
    176.88x = 54,726.75
  5. Step 5: Solve for x
    x = 54,726.75/176.88
  6. Step 6: Final answer
    x = 309.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.