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Finding the Third Proportional to 252.14 and 340.41

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Solution

The third proportional to 252.14 and 340.41 is: 459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 340.41 = 340.41 : x
  2. Step 2: Convert to fraction form
    252.14/340.41 = 340.41/x
  3. Step 3: Cross multiply
    252.14x = 340.41 × 340.41
  4. Step 4: Simplify right side
    252.14x = 115,881.40
  5. Step 5: Solve for x
    x = 115,881.40/252.14
  6. Step 6: Final answer
    x = 459.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.