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Finding the Third Proportional to 184,971.94 and 398,017.13

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Solution

The third proportional to 184,971.94 and 398,017.13 is: 856,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,971.94 : 398,017.13 = 398,017.13 : x
  2. Step 2: Convert to fraction form
    184,971.94/398,017.13 = 398,017.13/x
  3. Step 3: Cross multiply
    184,971.94x = 398,017.13 × 398,017.13
  4. Step 4: Simplify right side
    184,971.94x = 158,417,631,793.27
  5. Step 5: Solve for x
    x = 158,417,631,793.27/184,971.94
  6. Step 6: Final answer
    x = 856,441.44

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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.