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Finding the Third Proportional to 184,649 and 401,650.50

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Solution

The third proportional to 184,649 and 401,650.50 is: 873,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,649 : 401,650.50 = 401,650.50 : x
  2. Step 2: Convert to fraction form
    184,649/401,650.50 = 401,650.50/x
  3. Step 3: Cross multiply
    184,649x = 401,650.50 × 401,650.50
  4. Step 4: Simplify right side
    184,649x = 161,323,124,150.25
  5. Step 5: Solve for x
    x = 161,323,124,150.25/184,649
  6. Step 6: Final answer
    x = 873,674.51

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