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Finding the Third Proportional to 114.75 and 284.06

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Solution

The third proportional to 114.75 and 284.06 is: 703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 284.06 = 284.06 : x
  2. Step 2: Convert to fraction form
    114.75/284.06 = 284.06/x
  3. Step 3: Cross multiply
    114.75x = 284.06 × 284.06
  4. Step 4: Simplify right side
    114.75x = 80,691.50
  5. Step 5: Solve for x
    x = 80,691.50/114.75
  6. Step 6: Final answer
    x = 703.19

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.