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Finding the Third Proportional to 166,810 and 245,801

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Solution

The third proportional to 166,810 and 245,801 is: 362,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,810 : 245,801 = 245,801 : x
  2. Step 2: Convert to fraction form
    166,810/245,801 = 245,801/x
  3. Step 3: Cross multiply
    166,810x = 245,801 × 245,801
  4. Step 4: Simplify right side
    166,810x = 60,418,131,601
  5. Step 5: Solve for x
    x = 60,418,131,601/166,810
  6. Step 6: Final answer
    x = 362,197.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.