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Finding the Third Proportional to 156,269.25 and 339,349.50

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Solution

The third proportional to 156,269.25 and 339,349.50 is: 736,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,269.25 : 339,349.50 = 339,349.50 : x
  2. Step 2: Convert to fraction form
    156,269.25/339,349.50 = 339,349.50/x
  3. Step 3: Cross multiply
    156,269.25x = 339,349.50 × 339,349.50
  4. Step 4: Simplify right side
    156,269.25x = 115,158,083,150.25
  5. Step 5: Solve for x
    x = 115,158,083,150.25/156,269.25
  6. Step 6: Final answer
    x = 736,920.94

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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.