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Finding the Third Proportional to 154,161 and 334,525

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Solution

The third proportional to 154,161 and 334,525 is: 725,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,161 : 334,525 = 334,525 : x
  2. Step 2: Convert to fraction form
    154,161/334,525 = 334,525/x
  3. Step 3: Cross multiply
    154,161x = 334,525 × 334,525
  4. Step 4: Simplify right side
    154,161x = 111,906,975,625
  5. Step 5: Solve for x
    x = 111,906,975,625/154,161
  6. Step 6: Final answer
    x = 725,909.77

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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.