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Finding the Third Proportional to 163,874 and 221,407

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Solution

The third proportional to 163,874 and 221,407 is: 299,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,874 : 221,407 = 221,407 : x
  2. Step 2: Convert to fraction form
    163,874/221,407 = 221,407/x
  3. Step 3: Cross multiply
    163,874x = 221,407 × 221,407
  4. Step 4: Simplify right side
    163,874x = 49,021,059,649
  5. Step 5: Solve for x
    x = 49,021,059,649/163,874
  6. Step 6: Final answer
    x = 299,138.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.