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Finding the Third Proportional to 120.87 and 261.35

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Solution

The third proportional to 120.87 and 261.35 is: 565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 261.35 = 261.35 : x
  2. Step 2: Convert to fraction form
    120.87/261.35 = 261.35/x
  3. Step 3: Cross multiply
    120.87x = 261.35 × 261.35
  4. Step 4: Simplify right side
    120.87x = 68,304.64
  5. Step 5: Solve for x
    x = 68,304.64/120.87
  6. Step 6: Final answer
    x = 565.12

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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.