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Finding the Third Proportional to 184,401 and 288,013.50

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Solution

The third proportional to 184,401 and 288,013.50 is: 449,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,401 : 288,013.50 = 288,013.50 : x
  2. Step 2: Convert to fraction form
    184,401/288,013.50 = 288,013.50/x
  3. Step 3: Cross multiply
    184,401x = 288,013.50 × 288,013.50
  4. Step 4: Simplify right side
    184,401x = 82,951,776,182.25
  5. Step 5: Solve for x
    x = 82,951,776,182.25/184,401
  6. Step 6: Final answer
    x = 449,844.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.