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Finding the Third Proportional to 281.92 and 343.14

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Solution

The third proportional to 281.92 and 343.14 is: 417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 343.14 = 343.14 : x
  2. Step 2: Convert to fraction form
    281.92/343.14 = 343.14/x
  3. Step 3: Cross multiply
    281.92x = 343.14 × 343.14
  4. Step 4: Simplify right side
    281.92x = 117,746.83
  5. Step 5: Solve for x
    x = 117,746.83/281.92
  6. Step 6: Final answer
    x = 417.66

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.