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Finding the Third Proportional to 113.06 and 282.94

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Solution

The third proportional to 113.06 and 282.94 is: 708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 282.94 = 282.94 : x
  2. Step 2: Convert to fraction form
    113.06/282.94 = 282.94/x
  3. Step 3: Cross multiply
    113.06x = 282.94 × 282.94
  4. Step 4: Simplify right side
    113.06x = 80,053.63
  5. Step 5: Solve for x
    x = 80,053.63/113.06
  6. Step 6: Final answer
    x = 708.05

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.