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Finding the Third Proportional to 119.45 and 261.67

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Solution

The third proportional to 119.45 and 261.67 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.45 : 261.67 = 261.67 : x
  2. Step 2: Convert to fraction form
    119.45/261.67 = 261.67/x
  3. Step 3: Cross multiply
    119.45x = 261.67 × 261.67
  4. Step 4: Simplify right side
    119.45x = 68,472.17
  5. Step 5: Solve for x
    x = 68,472.17/119.45
  6. Step 6: Final answer
    x = 573.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.