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Finding the Third Proportional to 120.84 and 261.19

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Solution

The third proportional to 120.84 and 261.19 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 261.19 = 261.19 : x
  2. Step 2: Convert to fraction form
    120.84/261.19 = 261.19/x
  3. Step 3: Cross multiply
    120.84x = 261.19 × 261.19
  4. Step 4: Simplify right side
    120.84x = 68,218.91
  5. Step 5: Solve for x
    x = 68,218.91/120.84
  6. Step 6: Final answer
    x = 564.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.