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Finding the Third Proportional to 313.13 and 403.97

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Solution

The third proportional to 313.13 and 403.97 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.13 : 403.97 = 403.97 : x
  2. Step 2: Convert to fraction form
    313.13/403.97 = 403.97/x
  3. Step 3: Cross multiply
    313.13x = 403.97 × 403.97
  4. Step 4: Simplify right side
    313.13x = 163,190.75
  5. Step 5: Solve for x
    x = 163,190.75/313.13
  6. Step 6: Final answer
    x = 521.17

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.