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Finding the Third Proportional to 84,611 and 200,462

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Solution

The third proportional to 84,611 and 200,462 is: 474,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,611 : 200,462 = 200,462 : x
  2. Step 2: Convert to fraction form
    84,611/200,462 = 200,462/x
  3. Step 3: Cross multiply
    84,611x = 200,462 × 200,462
  4. Step 4: Simplify right side
    84,611x = 40,185,013,444
  5. Step 5: Solve for x
    x = 40,185,013,444/84,611
  6. Step 6: Final answer
    x = 474,938.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.