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Finding the Third Proportional to 156,977 and 343,098

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Solution

The third proportional to 156,977 and 343,098 is: 749,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,977 : 343,098 = 343,098 : x
  2. Step 2: Convert to fraction form
    156,977/343,098 = 343,098/x
  3. Step 3: Cross multiply
    156,977x = 343,098 × 343,098
  4. Step 4: Simplify right side
    156,977x = 117,716,237,604
  5. Step 5: Solve for x
    x = 117,716,237,604/156,977
  6. Step 6: Final answer
    x = 749,894.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.