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Finding the Third Proportional to 184,909.08 and 397,906.17

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Solution

The third proportional to 184,909.08 and 397,906.17 is: 856,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,909.08 : 397,906.17 = 397,906.17 : x
  2. Step 2: Convert to fraction form
    184,909.08/397,906.17 = 397,906.17/x
  3. Step 3: Cross multiply
    184,909.08x = 397,906.17 × 397,906.17
  4. Step 4: Simplify right side
    184,909.08x = 158,329,321,616.22
  5. Step 5: Solve for x
    x = 158,329,321,616.22/184,909.08
  6. Step 6: Final answer
    x = 856,254.99

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