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Finding the Third Proportional to 244,136 and 365,963

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Solution

The third proportional to 244,136 and 365,963 is: 548,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,136 : 365,963 = 365,963 : x
  2. Step 2: Convert to fraction form
    244,136/365,963 = 365,963/x
  3. Step 3: Cross multiply
    244,136x = 365,963 × 365,963
  4. Step 4: Simplify right side
    244,136x = 133,928,917,369
  5. Step 5: Solve for x
    x = 133,928,917,369/244,136
  6. Step 6: Final answer
    x = 548,583.24

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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.