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Finding the Third Proportional to 156,947 and 339,043

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Solution

The third proportional to 156,947 and 339,043 is: 732,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 339,043 = 339,043 : x
  2. Step 2: Convert to fraction form
    156,947/339,043 = 339,043/x
  3. Step 3: Cross multiply
    156,947x = 339,043 × 339,043
  4. Step 4: Simplify right side
    156,947x = 114,950,155,849
  5. Step 5: Solve for x
    x = 114,950,155,849/156,947
  6. Step 6: Final answer
    x = 732,413.85

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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.