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Finding the Third Proportional to 240.19 and 514.41

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Solution

The third proportional to 240.19 and 514.41 is: 1,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.19 : 514.41 = 514.41 : x
  2. Step 2: Convert to fraction form
    240.19/514.41 = 514.41/x
  3. Step 3: Cross multiply
    240.19x = 514.41 × 514.41
  4. Step 4: Simplify right side
    240.19x = 264,613.79
  5. Step 5: Solve for x
    x = 264,613.79/240.19
  6. Step 6: Final answer
    x = 1,101.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.