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Finding the Third Proportional to 192.13 and 298.31

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Solution

The third proportional to 192.13 and 298.31 is: 463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.13 : 298.31 = 298.31 : x
  2. Step 2: Convert to fraction form
    192.13/298.31 = 298.31/x
  3. Step 3: Cross multiply
    192.13x = 298.31 × 298.31
  4. Step 4: Simplify right side
    192.13x = 88,990.35
  5. Step 5: Solve for x
    x = 88,990.35/192.13
  6. Step 6: Final answer
    x = 463.19

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Why These Related Problems?

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