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Finding the Third Proportional to 144,389 and 347,849

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Solution

The third proportional to 144,389 and 347,849 is: 838,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,389 : 347,849 = 347,849 : x
  2. Step 2: Convert to fraction form
    144,389/347,849 = 347,849/x
  3. Step 3: Cross multiply
    144,389x = 347,849 × 347,849
  4. Step 4: Simplify right side
    144,389x = 120,998,926,801
  5. Step 5: Solve for x
    x = 120,998,926,801/144,389
  6. Step 6: Final answer
    x = 838,006.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.