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Finding the Third Proportional to 248.19 and 545.31

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Solution

The third proportional to 248.19 and 545.31 is: 1,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 545.31 = 545.31 : x
  2. Step 2: Convert to fraction form
    248.19/545.31 = 545.31/x
  3. Step 3: Cross multiply
    248.19x = 545.31 × 545.31
  4. Step 4: Simplify right side
    248.19x = 297,365.72
  5. Step 5: Solve for x
    x = 297,365.72/248.19
  6. Step 6: Final answer
    x = 1,198.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.