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Finding the Third Proportional to 84,341 and 181,187

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Solution

The third proportional to 84,341 and 181,187 is: 389,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,341 : 181,187 = 181,187 : x
  2. Step 2: Convert to fraction form
    84,341/181,187 = 181,187/x
  3. Step 3: Cross multiply
    84,341x = 181,187 × 181,187
  4. Step 4: Simplify right side
    84,341x = 32,828,728,969
  5. Step 5: Solve for x
    x = 32,828,728,969/84,341
  6. Step 6: Final answer
    x = 389,238.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.