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Finding the Third Proportional to 84,168 and 180,158

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Solution

The third proportional to 84,168 and 180,158 is: 385,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168 : 180,158 = 180,158 : x
  2. Step 2: Convert to fraction form
    84,168/180,158 = 180,158/x
  3. Step 3: Cross multiply
    84,168x = 180,158 × 180,158
  4. Step 4: Simplify right side
    84,168x = 32,456,904,964
  5. Step 5: Solve for x
    x = 32,456,904,964/84,168
  6. Step 6: Final answer
    x = 385,620.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.