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Finding the Third Proportional to 169,801 and 248,685

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Solution

The third proportional to 169,801 and 248,685 is: 364,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,801 : 248,685 = 248,685 : x
  2. Step 2: Convert to fraction form
    169,801/248,685 = 248,685/x
  3. Step 3: Cross multiply
    169,801x = 248,685 × 248,685
  4. Step 4: Simplify right side
    169,801x = 61,844,229,225
  5. Step 5: Solve for x
    x = 61,844,229,225/169,801
  6. Step 6: Final answer
    x = 364,215.93

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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.