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Finding the Third Proportional to 154,426.50 and 334,914.75

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Solution

The third proportional to 154,426.50 and 334,914.75 is: 726,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,426.50 : 334,914.75 = 334,914.75 : x
  2. Step 2: Convert to fraction form
    154,426.50/334,914.75 = 334,914.75/x
  3. Step 3: Cross multiply
    154,426.50x = 334,914.75 × 334,914.75
  4. Step 4: Simplify right side
    154,426.50x = 112,167,889,767.56
  5. Step 5: Solve for x
    x = 112,167,889,767.56/154,426.50
  6. Step 6: Final answer
    x = 726,351.30

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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.