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Finding the Third Proportional to 184,648.78 and 401,649.94

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Solution

The third proportional to 184,648.78 and 401,649.94 is: 873,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,648.78 : 401,649.94 = 401,649.94 : x
  2. Step 2: Convert to fraction form
    184,648.78/401,649.94 = 401,649.94/x
  3. Step 3: Cross multiply
    184,648.78x = 401,649.94 × 401,649.94
  4. Step 4: Simplify right side
    184,648.78x = 161,322,672,293.75
  5. Step 5: Solve for x
    x = 161,322,672,293.75/184,648.78
  6. Step 6: Final answer
    x = 873,673.10

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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.