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Finding the Third Proportional to 84,161 and 183,388

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Solution

The third proportional to 84,161 and 183,388 is: 399,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,161 : 183,388 = 183,388 : x
  2. Step 2: Convert to fraction form
    84,161/183,388 = 183,388/x
  3. Step 3: Cross multiply
    84,161x = 183,388 × 183,388
  4. Step 4: Simplify right side
    84,161x = 33,631,158,544
  5. Step 5: Solve for x
    x = 33,631,158,544/84,161
  6. Step 6: Final answer
    x = 399,605.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.