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Finding the Third Proportional to 234.84 and 515.11

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Solution

The third proportional to 234.84 and 515.11 is: 1,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 515.11 = 515.11 : x
  2. Step 2: Convert to fraction form
    234.84/515.11 = 515.11/x
  3. Step 3: Cross multiply
    234.84x = 515.11 × 515.11
  4. Step 4: Simplify right side
    234.84x = 265,337.67
  5. Step 5: Solve for x
    x = 265,337.67/234.84
  6. Step 6: Final answer
    x = 1,129.85

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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.