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Finding the Third Proportional to 135.84 and 314.11

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Solution

The third proportional to 135.84 and 314.11 is: 726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 314.11 = 314.11 : x
  2. Step 2: Convert to fraction form
    135.84/314.11 = 314.11/x
  3. Step 3: Cross multiply
    135.84x = 314.11 × 314.11
  4. Step 4: Simplify right side
    135.84x = 98,664.70
  5. Step 5: Solve for x
    x = 98,664.70/135.84
  6. Step 6: Final answer
    x = 726.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.