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Finding the Third Proportional to 240.84 and 571.03

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Solution

The third proportional to 240.84 and 571.03 is: 1,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 571.03 = 571.03 : x
  2. Step 2: Convert to fraction form
    240.84/571.03 = 571.03/x
  3. Step 3: Cross multiply
    240.84x = 571.03 × 571.03
  4. Step 4: Simplify right side
    240.84x = 326,076.69
  5. Step 5: Solve for x
    x = 326,076.69/240.84
  6. Step 6: Final answer
    x = 1,353.89

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.