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Finding the Third Proportional to 259.13 and 343.88

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Solution

The third proportional to 259.13 and 343.88 is: 456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.13 : 343.88 = 343.88 : x
  2. Step 2: Convert to fraction form
    259.13/343.88 = 343.88/x
  3. Step 3: Cross multiply
    259.13x = 343.88 × 343.88
  4. Step 4: Simplify right side
    259.13x = 118,250.02
  5. Step 5: Solve for x
    x = 118,250.02/259.13
  6. Step 6: Final answer
    x = 456.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.