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Finding the Third Proportional to 84,336.75 and 181,179

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Solution

The third proportional to 84,336.75 and 181,179 is: 389,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,336.75 : 181,179 = 181,179 : x
  2. Step 2: Convert to fraction form
    84,336.75/181,179 = 181,179/x
  3. Step 3: Cross multiply
    84,336.75x = 181,179 × 181,179
  4. Step 4: Simplify right side
    84,336.75x = 32,825,830,041
  5. Step 5: Solve for x
    x = 32,825,830,041/84,336.75
  6. Step 6: Final answer
    x = 389,223.32

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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.