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Finding the Third Proportional to 182.61 and 275.51

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Solution

The third proportional to 182.61 and 275.51 is: 415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 275.51 = 275.51 : x
  2. Step 2: Convert to fraction form
    182.61/275.51 = 275.51/x
  3. Step 3: Cross multiply
    182.61x = 275.51 × 275.51
  4. Step 4: Simplify right side
    182.61x = 75,906.17
  5. Step 5: Solve for x
    x = 75,906.17/182.61
  6. Step 6: Final answer
    x = 415.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.