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Finding the Third Proportional to 169,799 and 248,682

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Solution

The third proportional to 169,799 and 248,682 is: 364,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,799 : 248,682 = 248,682 : x
  2. Step 2: Convert to fraction form
    169,799/248,682 = 248,682/x
  3. Step 3: Cross multiply
    169,799x = 248,682 × 248,682
  4. Step 4: Simplify right side
    169,799x = 61,842,737,124
  5. Step 5: Solve for x
    x = 61,842,737,124/169,799
  6. Step 6: Final answer
    x = 364,211.43

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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.