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Finding the Third Proportional to 282.23 and 374.58

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Solution

The third proportional to 282.23 and 374.58 is: 497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.23 : 374.58 = 374.58 : x
  2. Step 2: Convert to fraction form
    282.23/374.58 = 374.58/x
  3. Step 3: Cross multiply
    282.23x = 374.58 × 374.58
  4. Step 4: Simplify right side
    282.23x = 140,308.77
  5. Step 5: Solve for x
    x = 140,308.77/282.23
  6. Step 6: Final answer
    x = 497.14

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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.