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Finding the Third Proportional to 342.84 and 514.13

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Solution

The third proportional to 342.84 and 514.13 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 514.13 = 514.13 : x
  2. Step 2: Convert to fraction form
    342.84/514.13 = 514.13/x
  3. Step 3: Cross multiply
    342.84x = 514.13 × 514.13
  4. Step 4: Simplify right side
    342.84x = 264,324.52
  5. Step 5: Solve for x
    x = 264,324.52/342.84
  6. Step 6: Final answer
    x = 770.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.