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Finding the Third Proportional to 244,640 and 344,505

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Solution

The third proportional to 244,640 and 344,505 is: 485,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,640 : 344,505 = 344,505 : x
  2. Step 2: Convert to fraction form
    244,640/344,505 = 344,505/x
  3. Step 3: Cross multiply
    244,640x = 344,505 × 344,505
  4. Step 4: Simplify right side
    244,640x = 118,683,695,025
  5. Step 5: Solve for x
    x = 118,683,695,025/244,640
  6. Step 6: Final answer
    x = 485,136.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.