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Finding the Third Proportional to 175.92 and 230.55

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Solution

The third proportional to 175.92 and 230.55 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 230.55 = 230.55 : x
  2. Step 2: Convert to fraction form
    175.92/230.55 = 230.55/x
  3. Step 3: Cross multiply
    175.92x = 230.55 × 230.55
  4. Step 4: Simplify right side
    175.92x = 53,155.46
  5. Step 5: Solve for x
    x = 53,155.46/175.92
  6. Step 6: Final answer
    x = 302.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.