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Finding the Third Proportional to 192,200 and 416,848

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Solution

The third proportional to 192,200 and 416,848 is: 904,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,200 : 416,848 = 416,848 : x
  2. Step 2: Convert to fraction form
    192,200/416,848 = 416,848/x
  3. Step 3: Cross multiply
    192,200x = 416,848 × 416,848
  4. Step 4: Simplify right side
    192,200x = 173,762,255,104
  5. Step 5: Solve for x
    x = 173,762,255,104/192,200
  6. Step 6: Final answer
    x = 904,070.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.