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Finding the Third Proportional to 184,725 and 401,799

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Solution

The third proportional to 184,725 and 401,799 is: 873,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,725 : 401,799 = 401,799 : x
  2. Step 2: Convert to fraction form
    184,725/401,799 = 401,799/x
  3. Step 3: Cross multiply
    184,725x = 401,799 × 401,799
  4. Step 4: Simplify right side
    184,725x = 161,442,436,401
  5. Step 5: Solve for x
    x = 161,442,436,401/184,725
  6. Step 6: Final answer
    x = 873,960.95

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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.