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Finding the Third Proportional to 184,648.50 and 401,649.33

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Solution

The third proportional to 184,648.50 and 401,649.33 is: 873,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,648.50 : 401,649.33 = 401,649.33 : x
  2. Step 2: Convert to fraction form
    184,648.50/401,649.33 = 401,649.33/x
  3. Step 3: Cross multiply
    184,648.50x = 401,649.33 × 401,649.33
  4. Step 4: Simplify right side
    184,648.50x = 161,322,182,783.26
  5. Step 5: Solve for x
    x = 161,322,182,783.26/184,648.50
  6. Step 6: Final answer
    x = 873,671.78

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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.