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Finding the Third Proportional to 144,385 and 347,841

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Solution

The third proportional to 144,385 and 347,841 is: 837,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,385 : 347,841 = 347,841 : x
  2. Step 2: Convert to fraction form
    144,385/347,841 = 347,841/x
  3. Step 3: Cross multiply
    144,385x = 347,841 × 347,841
  4. Step 4: Simplify right side
    144,385x = 120,993,361,281
  5. Step 5: Solve for x
    x = 120,993,361,281/144,385
  6. Step 6: Final answer
    x = 837,991.21

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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.