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Finding the Third Proportional to 259.56 and 389.34

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Solution

The third proportional to 259.56 and 389.34 is: 584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.56 : 389.34 = 389.34 : x
  2. Step 2: Convert to fraction form
    259.56/389.34 = 389.34/x
  3. Step 3: Cross multiply
    259.56x = 389.34 × 389.34
  4. Step 4: Simplify right side
    259.56x = 151,588.56
  5. Step 5: Solve for x
    x = 151,588.56/259.56
  6. Step 6: Final answer
    x = 584.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.