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Finding the Third Proportional to 84,400 and 181,922

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Solution

The third proportional to 84,400 and 181,922 is: 392,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,400 : 181,922 = 181,922 : x
  2. Step 2: Convert to fraction form
    84,400/181,922 = 181,922/x
  3. Step 3: Cross multiply
    84,400x = 181,922 × 181,922
  4. Step 4: Simplify right side
    84,400x = 33,095,614,084
  5. Step 5: Solve for x
    x = 33,095,614,084/84,400
  6. Step 6: Final answer
    x = 392,128.13

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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.