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Finding the Third Proportional to 163,150 and 361,238

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Solution

The third proportional to 163,150 and 361,238 is: 799,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,150 : 361,238 = 361,238 : x
  2. Step 2: Convert to fraction form
    163,150/361,238 = 361,238/x
  3. Step 3: Cross multiply
    163,150x = 361,238 × 361,238
  4. Step 4: Simplify right side
    163,150x = 130,492,892,644
  5. Step 5: Solve for x
    x = 130,492,892,644/163,150
  6. Step 6: Final answer
    x = 799,833.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.