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Finding the Third Proportional to 163,684 and 246,134

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Solution

The third proportional to 163,684 and 246,134 is: 370,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,684 : 246,134 = 246,134 : x
  2. Step 2: Convert to fraction form
    163,684/246,134 = 246,134/x
  3. Step 3: Cross multiply
    163,684x = 246,134 × 246,134
  4. Step 4: Simplify right side
    163,684x = 60,581,945,956
  5. Step 5: Solve for x
    x = 60,581,945,956/163,684
  6. Step 6: Final answer
    x = 370,115.26

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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.