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Finding the Third Proportional to 84,168 and 181,456

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Solution

The third proportional to 84,168 and 181,456 is: 391,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168 : 181,456 = 181,456 : x
  2. Step 2: Convert to fraction form
    84,168/181,456 = 181,456/x
  3. Step 3: Cross multiply
    84,168x = 181,456 × 181,456
  4. Step 4: Simplify right side
    84,168x = 32,926,279,936
  5. Step 5: Solve for x
    x = 32,926,279,936/84,168
  6. Step 6: Final answer
    x = 391,197.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.