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Finding the Third Proportional to 184,401 and 252,364.50

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Solution

The third proportional to 184,401 and 252,364.50 is: 345,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,401 : 252,364.50 = 252,364.50 : x
  2. Step 2: Convert to fraction form
    184,401/252,364.50 = 252,364.50/x
  3. Step 3: Cross multiply
    184,401x = 252,364.50 × 252,364.50
  4. Step 4: Simplify right side
    184,401x = 63,687,840,860.25
  5. Step 5: Solve for x
    x = 63,687,840,860.25/184,401
  6. Step 6: Final answer
    x = 345,376.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.