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Finding the Third Proportional to 163,542 and 246,126

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Solution

The third proportional to 163,542 and 246,126 is: 370,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,542 : 246,126 = 246,126 : x
  2. Step 2: Convert to fraction form
    163,542/246,126 = 246,126/x
  3. Step 3: Cross multiply
    163,542x = 246,126 × 246,126
  4. Step 4: Simplify right side
    163,542x = 60,578,007,876
  5. Step 5: Solve for x
    x = 60,578,007,876/163,542
  6. Step 6: Final answer
    x = 370,412.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.