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Finding the Third Proportional to 140,213 and 203,920

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Solution

The third proportional to 140,213 and 203,920 is: 296,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,213 : 203,920 = 203,920 : x
  2. Step 2: Convert to fraction form
    140,213/203,920 = 203,920/x
  3. Step 3: Cross multiply
    140,213x = 203,920 × 203,920
  4. Step 4: Simplify right side
    140,213x = 41,583,366,400
  5. Step 5: Solve for x
    x = 41,583,366,400/140,213
  6. Step 6: Final answer
    x = 296,572.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.