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Finding the Third Proportional to 156,914 and 339,586

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Solution

The third proportional to 156,914 and 339,586 is: 734,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914 : 339,586 = 339,586 : x
  2. Step 2: Convert to fraction form
    156,914/339,586 = 339,586/x
  3. Step 3: Cross multiply
    156,914x = 339,586 × 339,586
  4. Step 4: Simplify right side
    156,914x = 115,318,651,396
  5. Step 5: Solve for x
    x = 115,318,651,396/156,914
  6. Step 6: Final answer
    x = 734,916.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.