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Finding the Third Proportional to 282.99 and 617.23

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Solution

The third proportional to 282.99 and 617.23 is: 1,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.99 : 617.23 = 617.23 : x
  2. Step 2: Convert to fraction form
    282.99/617.23 = 617.23/x
  3. Step 3: Cross multiply
    282.99x = 617.23 × 617.23
  4. Step 4: Simplify right side
    282.99x = 380,972.25
  5. Step 5: Solve for x
    x = 380,972.25/282.99
  6. Step 6: Final answer
    x = 1,346.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.