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Finding the Third Proportional to 282.19 and 617.06

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Solution

The third proportional to 282.19 and 617.06 is: 1,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.19 : 617.06 = 617.06 : x
  2. Step 2: Convert to fraction form
    282.19/617.06 = 617.06/x
  3. Step 3: Cross multiply
    282.19x = 617.06 × 617.06
  4. Step 4: Simplify right side
    282.19x = 380,766.13
  5. Step 5: Solve for x
    x = 380,766.13/282.19
  6. Step 6: Final answer
    x = 1,349.34

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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.