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Finding the Third Proportional to 277.88 and 397.13

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Solution

The third proportional to 277.88 and 397.13 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 397.13 = 397.13 : x
  2. Step 2: Convert to fraction form
    277.88/397.13 = 397.13/x
  3. Step 3: Cross multiply
    277.88x = 397.13 × 397.13
  4. Step 4: Simplify right side
    277.88x = 157,708.27
  5. Step 5: Solve for x
    x = 157,708.27/277.88
  6. Step 6: Final answer
    x = 567.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.