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Finding the Third Proportional to 163,838 and 220,165

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Solution

The third proportional to 163,838 and 220,165 is: 295,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,838 : 220,165 = 220,165 : x
  2. Step 2: Convert to fraction form
    163,838/220,165 = 220,165/x
  3. Step 3: Cross multiply
    163,838x = 220,165 × 220,165
  4. Step 4: Simplify right side
    163,838x = 48,472,627,225
  5. Step 5: Solve for x
    x = 48,472,627,225/163,838
  6. Step 6: Final answer
    x = 295,857.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.