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Finding the Third Proportional to 144,381 and 347,829

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Solution

The third proportional to 144,381 and 347,829 is: 837,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,381 : 347,829 = 347,829 : x
  2. Step 2: Convert to fraction form
    144,381/347,829 = 347,829/x
  3. Step 3: Cross multiply
    144,381x = 347,829 × 347,829
  4. Step 4: Simplify right side
    144,381x = 120,985,013,241
  5. Step 5: Solve for x
    x = 120,985,013,241/144,381
  6. Step 6: Final answer
    x = 837,956.61

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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.