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Finding the Third Proportional to 282.50 and 374.88

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Solution

The third proportional to 282.50 and 374.88 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 374.88 = 374.88 : x
  2. Step 2: Convert to fraction form
    282.50/374.88 = 374.88/x
  3. Step 3: Cross multiply
    282.50x = 374.88 × 374.88
  4. Step 4: Simplify right side
    282.50x = 140,531.27
  5. Step 5: Solve for x
    x = 140,531.27/282.50
  6. Step 6: Final answer
    x = 497.46

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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.