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Finding the Third Proportional to 120.42 and 261.84

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Solution

The third proportional to 120.42 and 261.84 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 261.84 = 261.84 : x
  2. Step 2: Convert to fraction form
    120.42/261.84 = 261.84/x
  3. Step 3: Cross multiply
    120.42x = 261.84 × 261.84
  4. Step 4: Simplify right side
    120.42x = 68,562.15
  5. Step 5: Solve for x
    x = 68,562.15/120.42
  6. Step 6: Final answer
    x = 569.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.