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Finding the Third Proportional to 176.34 and 233.93

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Solution

The third proportional to 176.34 and 233.93 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 233.93 = 233.93 : x
  2. Step 2: Convert to fraction form
    176.34/233.93 = 233.93/x
  3. Step 3: Cross multiply
    176.34x = 233.93 × 233.93
  4. Step 4: Simplify right side
    176.34x = 54,723.10
  5. Step 5: Solve for x
    x = 54,723.10/176.34
  6. Step 6: Final answer
    x = 310.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.