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Finding the Third Proportional to 281.18 and 554.13

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Solution

The third proportional to 281.18 and 554.13 is: 1,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.18 : 554.13 = 554.13 : x
  2. Step 2: Convert to fraction form
    281.18/554.13 = 554.13/x
  3. Step 3: Cross multiply
    281.18x = 554.13 × 554.13
  4. Step 4: Simplify right side
    281.18x = 307,063.17
  5. Step 5: Solve for x
    x = 307,063.17/281.18
  6. Step 6: Final answer
    x = 1,092.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.