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Finding the Third Proportional to 240.05 and 493.17

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Solution

The third proportional to 240.05 and 493.17 is: 1,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.05 : 493.17 = 493.17 : x
  2. Step 2: Convert to fraction form
    240.05/493.17 = 493.17/x
  3. Step 3: Cross multiply
    240.05x = 493.17 × 493.17
  4. Step 4: Simplify right side
    240.05x = 243,218.50
  5. Step 5: Solve for x
    x = 243,218.50/240.05
  6. Step 6: Final answer
    x = 1,013.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.