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Finding the Third Proportional to 146,736 and 209,880

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Solution

The third proportional to 146,736 and 209,880 is: 300,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,736 : 209,880 = 209,880 : x
  2. Step 2: Convert to fraction form
    146,736/209,880 = 209,880/x
  3. Step 3: Cross multiply
    146,736x = 209,880 × 209,880
  4. Step 4: Simplify right side
    146,736x = 44,049,614,400
  5. Step 5: Solve for x
    x = 44,049,614,400/146,736
  6. Step 6: Final answer
    x = 300,196.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.