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Finding the Third Proportional to 83,484 and 184,977

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Solution

The third proportional to 83,484 and 184,977 is: 409,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,484 : 184,977 = 184,977 : x
  2. Step 2: Convert to fraction form
    83,484/184,977 = 184,977/x
  3. Step 3: Cross multiply
    83,484x = 184,977 × 184,977
  4. Step 4: Simplify right side
    83,484x = 34,216,490,529
  5. Step 5: Solve for x
    x = 34,216,490,529/83,484
  6. Step 6: Final answer
    x = 409,856.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.