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Finding the Third Proportional to 175.83 and 272.95

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Solution

The third proportional to 175.83 and 272.95 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 272.95 = 272.95 : x
  2. Step 2: Convert to fraction form
    175.83/272.95 = 272.95/x
  3. Step 3: Cross multiply
    175.83x = 272.95 × 272.95
  4. Step 4: Simplify right side
    175.83x = 74,503.41
  5. Step 5: Solve for x
    x = 74,503.41/175.83
  6. Step 6: Final answer
    x = 423.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.