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Finding the Third Proportional to 117.84 and 252.56

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Solution

The third proportional to 117.84 and 252.56 is: 541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 252.56 = 252.56 : x
  2. Step 2: Convert to fraction form
    117.84/252.56 = 252.56/x
  3. Step 3: Cross multiply
    117.84x = 252.56 × 252.56
  4. Step 4: Simplify right side
    117.84x = 63,787.82
  5. Step 5: Solve for x
    x = 63,787.82/117.84
  6. Step 6: Final answer
    x = 541.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.