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Finding the Third Proportional to 169,401 and 247,743

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Solution

The third proportional to 169,401 and 247,743 is: 362,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,401 : 247,743 = 247,743 : x
  2. Step 2: Convert to fraction form
    169,401/247,743 = 247,743/x
  3. Step 3: Cross multiply
    169,401x = 247,743 × 247,743
  4. Step 4: Simplify right side
    169,401x = 61,376,594,049
  5. Step 5: Solve for x
    x = 61,376,594,049/169,401
  6. Step 6: Final answer
    x = 362,315.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.