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Finding the Third Proportional to 84,502 and 183,601

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Solution

The third proportional to 84,502 and 183,601 is: 398,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,502 : 183,601 = 183,601 : x
  2. Step 2: Convert to fraction form
    84,502/183,601 = 183,601/x
  3. Step 3: Cross multiply
    84,502x = 183,601 × 183,601
  4. Step 4: Simplify right side
    84,502x = 33,709,327,201
  5. Step 5: Solve for x
    x = 33,709,327,201/84,502
  6. Step 6: Final answer
    x = 398,917.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.