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Finding the Third Proportional to 97 and 259.50

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Solution

The third proportional to 97 and 259.50 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 259.50 = 259.50 : x
  2. Step 2: Convert to fraction form
    97/259.50 = 259.50/x
  3. Step 3: Cross multiply
    97x = 259.50 × 259.50
  4. Step 4: Simplify right side
    97x = 67,340.25
  5. Step 5: Solve for x
    x = 67,340.25/97
  6. Step 6: Final answer
    x = 694.23

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.