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Finding the Third Proportional to 339.82 and 510.68

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Solution

The third proportional to 339.82 and 510.68 is: 767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 510.68 = 510.68 : x
  2. Step 2: Convert to fraction form
    339.82/510.68 = 510.68/x
  3. Step 3: Cross multiply
    339.82x = 510.68 × 510.68
  4. Step 4: Simplify right side
    339.82x = 260,793.74
  5. Step 5: Solve for x
    x = 260,793.74/339.82
  6. Step 6: Final answer
    x = 767.45

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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.