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Finding the Third Proportional to 259.03 and 401.68

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Solution

The third proportional to 259.03 and 401.68 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.03 : 401.68 = 401.68 : x
  2. Step 2: Convert to fraction form
    259.03/401.68 = 401.68/x
  3. Step 3: Cross multiply
    259.03x = 401.68 × 401.68
  4. Step 4: Simplify right side
    259.03x = 161,345.00
  5. Step 5: Solve for x
    x = 161,345.00/259.03
  6. Step 6: Final answer
    x = 622.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.