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Finding the Third Proportional to 244,651 and 344,525

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Solution

The third proportional to 244,651 and 344,525 is: 485,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,651 : 344,525 = 344,525 : x
  2. Step 2: Convert to fraction form
    244,651/344,525 = 344,525/x
  3. Step 3: Cross multiply
    244,651x = 344,525 × 344,525
  4. Step 4: Simplify right side
    244,651x = 118,697,475,625
  5. Step 5: Solve for x
    x = 118,697,475,625/244,651
  6. Step 6: Final answer
    x = 485,170.61

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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.