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Finding the Third Proportional to 115.07 and 277.07

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Solution

The third proportional to 115.07 and 277.07 is: 667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.07 : 277.07 = 277.07 : x
  2. Step 2: Convert to fraction form
    115.07/277.07 = 277.07/x
  3. Step 3: Cross multiply
    115.07x = 277.07 × 277.07
  4. Step 4: Simplify right side
    115.07x = 76,765.79
  5. Step 5: Solve for x
    x = 76,765.79/115.07
  6. Step 6: Final answer
    x = 667.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.