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Finding the Third Proportional to 156,834 and 339,588

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Solution

The third proportional to 156,834 and 339,588 is: 735,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,834 : 339,588 = 339,588 : x
  2. Step 2: Convert to fraction form
    156,834/339,588 = 339,588/x
  3. Step 3: Cross multiply
    156,834x = 339,588 × 339,588
  4. Step 4: Simplify right side
    156,834x = 115,320,009,744
  5. Step 5: Solve for x
    x = 115,320,009,744/156,834
  6. Step 6: Final answer
    x = 735,299.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.