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Finding the Third Proportional to 259.13 and 391.13

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Solution

The third proportional to 259.13 and 391.13 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.13 : 391.13 = 391.13 : x
  2. Step 2: Convert to fraction form
    259.13/391.13 = 391.13/x
  3. Step 3: Cross multiply
    259.13x = 391.13 × 391.13
  4. Step 4: Simplify right side
    259.13x = 152,978.77
  5. Step 5: Solve for x
    x = 152,978.77/259.13
  6. Step 6: Final answer
    x = 590.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.