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Finding the Third Proportional to 184,125 and 401,055

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Solution

The third proportional to 184,125 and 401,055 is: 873,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,125 : 401,055 = 401,055 : x
  2. Step 2: Convert to fraction form
    184,125/401,055 = 401,055/x
  3. Step 3: Cross multiply
    184,125x = 401,055 × 401,055
  4. Step 4: Simplify right side
    184,125x = 160,845,113,025
  5. Step 5: Solve for x
    x = 160,845,113,025/184,125
  6. Step 6: Final answer
    x = 873,564.77

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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.