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Finding the Third Proportional to 115.80 and 292.36

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Solution

The third proportional to 115.80 and 292.36 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 292.36 = 292.36 : x
  2. Step 2: Convert to fraction form
    115.80/292.36 = 292.36/x
  3. Step 3: Cross multiply
    115.80x = 292.36 × 292.36
  4. Step 4: Simplify right side
    115.80x = 85,474.00
  5. Step 5: Solve for x
    x = 85,474.00/115.80
  6. Step 6: Final answer
    x = 738.09

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.