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Finding the Third Proportional to 223,737 and 436,134

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Solution

The third proportional to 223,737 and 436,134 is: 850,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,737 : 436,134 = 436,134 : x
  2. Step 2: Convert to fraction form
    223,737/436,134 = 436,134/x
  3. Step 3: Cross multiply
    223,737x = 436,134 × 436,134
  4. Step 4: Simplify right side
    223,737x = 190,212,865,956
  5. Step 5: Solve for x
    x = 190,212,865,956/223,737
  6. Step 6: Final answer
    x = 850,162.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.