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Finding the Third Proportional to 114.91 and 245.84

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Solution

The third proportional to 114.91 and 245.84 is: 525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.91 : 245.84 = 245.84 : x
  2. Step 2: Convert to fraction form
    114.91/245.84 = 245.84/x
  3. Step 3: Cross multiply
    114.91x = 245.84 × 245.84
  4. Step 4: Simplify right side
    114.91x = 60,439.15
  5. Step 5: Solve for x
    x = 60,439.15/114.91
  6. Step 6: Final answer
    x = 525.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.