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Finding the Third Proportional to 340.14 and 523.49

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Solution

The third proportional to 340.14 and 523.49 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 523.49 = 523.49 : x
  2. Step 2: Convert to fraction form
    340.14/523.49 = 523.49/x
  3. Step 3: Cross multiply
    340.14x = 523.49 × 523.49
  4. Step 4: Simplify right side
    340.14x = 274,046.12
  5. Step 5: Solve for x
    x = 274,046.12/340.14
  6. Step 6: Final answer
    x = 805.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.