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Finding the Third Proportional to 248.98 and 547.10

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Solution

The third proportional to 248.98 and 547.10 is: 1,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.98 : 547.10 = 547.10 : x
  2. Step 2: Convert to fraction form
    248.98/547.10 = 547.10/x
  3. Step 3: Cross multiply
    248.98x = 547.10 × 547.10
  4. Step 4: Simplify right side
    248.98x = 299,320.12
  5. Step 5: Solve for x
    x = 299,320.12/248.98
  6. Step 6: Final answer
    x = 1,202.20

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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.