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Finding the Third Proportional to 114 and 278

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Solution

The third proportional to 114 and 278 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 278 = 278 : x
  2. Step 2: Convert to fraction form
    114/278 = 278/x
  3. Step 3: Cross multiply
    114x = 278 × 278
  4. Step 4: Simplify right side
    114x = 77,284
  5. Step 5: Solve for x
    x = 77,284/114
  6. Step 6: Final answer
    x = 677.93

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.