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Finding the Third Proportional to 158,486 and 246,193

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Solution

The third proportional to 158,486 and 246,193 is: 382,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,486 : 246,193 = 246,193 : x
  2. Step 2: Convert to fraction form
    158,486/246,193 = 246,193/x
  3. Step 3: Cross multiply
    158,486x = 246,193 × 246,193
  4. Step 4: Simplify right side
    158,486x = 60,610,993,249
  5. Step 5: Solve for x
    x = 60,610,993,249/158,486
  6. Step 6: Final answer
    x = 382,437.52

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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.