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Finding the Third Proportional to 280.97 and 608.34

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Solution

The third proportional to 280.97 and 608.34 is: 1,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 608.34 = 608.34 : x
  2. Step 2: Convert to fraction form
    280.97/608.34 = 608.34/x
  3. Step 3: Cross multiply
    280.97x = 608.34 × 608.34
  4. Step 4: Simplify right side
    280.97x = 370,082.12
  5. Step 5: Solve for x
    x = 370,082.12/280.97
  6. Step 6: Final answer
    x = 1,317.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.