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Finding the Third Proportional to 159,510 and 246,834

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Solution

The third proportional to 159,510 and 246,834 is: 381,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,510 : 246,834 = 246,834 : x
  2. Step 2: Convert to fraction form
    159,510/246,834 = 246,834/x
  3. Step 3: Cross multiply
    159,510x = 246,834 × 246,834
  4. Step 4: Simplify right side
    159,510x = 60,927,023,556
  5. Step 5: Solve for x
    x = 60,927,023,556/159,510
  6. Step 6: Final answer
    x = 381,963.66

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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.