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Finding the Third Proportional to 84,615 and 184,413

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Solution

The third proportional to 84,615 and 184,413 is: 401,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615 : 184,413 = 184,413 : x
  2. Step 2: Convert to fraction form
    84,615/184,413 = 184,413/x
  3. Step 3: Cross multiply
    84,615x = 184,413 × 184,413
  4. Step 4: Simplify right side
    84,615x = 34,008,154,569
  5. Step 5: Solve for x
    x = 34,008,154,569/84,615
  6. Step 6: Final answer
    x = 401,916.38

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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.