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Finding the Third Proportional to 154,744 and 334,616

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Solution

The third proportional to 154,744 and 334,616 is: 723,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,744 : 334,616 = 334,616 : x
  2. Step 2: Convert to fraction form
    154,744/334,616 = 334,616/x
  3. Step 3: Cross multiply
    154,744x = 334,616 × 334,616
  4. Step 4: Simplify right side
    154,744x = 111,967,867,456
  5. Step 5: Solve for x
    x = 111,967,867,456/154,744
  6. Step 6: Final answer
    x = 723,568.39

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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.