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Finding the Third Proportional to 120.23 and 175.92

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Solution

The third proportional to 120.23 and 175.92 is: 257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 175.92 = 175.92 : x
  2. Step 2: Convert to fraction form
    120.23/175.92 = 175.92/x
  3. Step 3: Cross multiply
    120.23x = 175.92 × 175.92
  4. Step 4: Simplify right side
    120.23x = 30,948.51
  5. Step 5: Solve for x
    x = 30,948.51/120.23
  6. Step 6: Final answer
    x = 257.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.