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Finding the Third Proportional to 173.25 and 363.13

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Solution

The third proportional to 173.25 and 363.13 is: 761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.25 : 363.13 = 363.13 : x
  2. Step 2: Convert to fraction form
    173.25/363.13 = 363.13/x
  3. Step 3: Cross multiply
    173.25x = 363.13 × 363.13
  4. Step 4: Simplify right side
    173.25x = 131,859.77
  5. Step 5: Solve for x
    x = 131,859.77/173.25
  6. Step 6: Final answer
    x = 761.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.