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Finding the Third Proportional to 139,524 and 305,589

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Solution

The third proportional to 139,524 and 305,589 is: 669,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,524 : 305,589 = 305,589 : x
  2. Step 2: Convert to fraction form
    139,524/305,589 = 305,589/x
  3. Step 3: Cross multiply
    139,524x = 305,589 × 305,589
  4. Step 4: Simplify right side
    139,524x = 93,384,636,921
  5. Step 5: Solve for x
    x = 93,384,636,921/139,524
  6. Step 6: Final answer
    x = 669,308.77

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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.