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Finding the Third Proportional to 244,143 and 365,976

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Solution

The third proportional to 244,143 and 365,976 is: 548,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,143 : 365,976 = 365,976 : x
  2. Step 2: Convert to fraction form
    244,143/365,976 = 365,976/x
  3. Step 3: Cross multiply
    244,143x = 365,976 × 365,976
  4. Step 4: Simplify right side
    244,143x = 133,938,432,576
  5. Step 5: Solve for x
    x = 133,938,432,576/244,143
  6. Step 6: Final answer
    x = 548,606.48

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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.