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Finding the Third Proportional to 244,150 and 365,985

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Solution

The third proportional to 244,150 and 365,985 is: 548,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,150 : 365,985 = 365,985 : x
  2. Step 2: Convert to fraction form
    244,150/365,985 = 365,985/x
  3. Step 3: Cross multiply
    244,150x = 365,985 × 365,985
  4. Step 4: Simplify right side
    244,150x = 133,945,020,225
  5. Step 5: Solve for x
    x = 133,945,020,225/244,150
  6. Step 6: Final answer
    x = 548,617.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.