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Finding the Third Proportional to 163,737 and 246,214

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Solution

The third proportional to 163,737 and 246,214 is: 370,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,737 : 246,214 = 246,214 : x
  2. Step 2: Convert to fraction form
    163,737/246,214 = 246,214/x
  3. Step 3: Cross multiply
    163,737x = 246,214 × 246,214
  4. Step 4: Simplify right side
    163,737x = 60,621,333,796
  5. Step 5: Solve for x
    x = 60,621,333,796/163,737
  6. Step 6: Final answer
    x = 370,236.01

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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.