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Finding the Third Proportional to 277.25 and 608.88

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Solution

The third proportional to 277.25 and 608.88 is: 1,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 608.88 = 608.88 : x
  2. Step 2: Convert to fraction form
    277.25/608.88 = 608.88/x
  3. Step 3: Cross multiply
    277.25x = 608.88 × 608.88
  4. Step 4: Simplify right side
    277.25x = 370,728.77
  5. Step 5: Solve for x
    x = 370,728.77/277.25
  6. Step 6: Final answer
    x = 1,337.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.