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Finding the Third Proportional to 163,742 and 246,221

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Solution

The third proportional to 163,742 and 246,221 is: 370,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,742 : 246,221 = 246,221 : x
  2. Step 2: Convert to fraction form
    163,742/246,221 = 246,221/x
  3. Step 3: Cross multiply
    163,742x = 246,221 × 246,221
  4. Step 4: Simplify right side
    163,742x = 60,624,780,841
  5. Step 5: Solve for x
    x = 60,624,780,841/163,742
  6. Step 6: Final answer
    x = 370,245.76

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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.