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Finding the Third Proportional to 184,370.20 and 401,186.53

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Solution

The third proportional to 184,370.20 and 401,186.53 is: 872,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,370.20 : 401,186.53 = 401,186.53 : x
  2. Step 2: Convert to fraction form
    184,370.20/401,186.53 = 401,186.53/x
  3. Step 3: Cross multiply
    184,370.20x = 401,186.53 × 401,186.53
  4. Step 4: Simplify right side
    184,370.20x = 160,950,632,856.41
  5. Step 5: Solve for x
    x = 160,950,632,856.41/184,370.20
  6. Step 6: Final answer
    x = 872,975.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.