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Finding the Third Proportional to 184,065 and 401,451

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Solution

The third proportional to 184,065 and 401,451 is: 875,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,065 : 401,451 = 401,451 : x
  2. Step 2: Convert to fraction form
    184,065/401,451 = 401,451/x
  3. Step 3: Cross multiply
    184,065x = 401,451 × 401,451
  4. Step 4: Simplify right side
    184,065x = 161,162,905,401
  5. Step 5: Solve for x
    x = 161,162,905,401/184,065
  6. Step 6: Final answer
    x = 875,576.05

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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.