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Finding the Third Proportional to 156,777 and 344,769

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Solution

The third proportional to 156,777 and 344,769 is: 758,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,777 : 344,769 = 344,769 : x
  2. Step 2: Convert to fraction form
    156,777/344,769 = 344,769/x
  3. Step 3: Cross multiply
    156,777x = 344,769 × 344,769
  4. Step 4: Simplify right side
    156,777x = 118,865,663,361
  5. Step 5: Solve for x
    x = 118,865,663,361/156,777
  6. Step 6: Final answer
    x = 758,183.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.