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Finding the Third Proportional to 150,884 and 330,784

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Solution

The third proportional to 150,884 and 330,784 is: 725,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,884 : 330,784 = 330,784 : x
  2. Step 2: Convert to fraction form
    150,884/330,784 = 330,784/x
  3. Step 3: Cross multiply
    150,884x = 330,784 × 330,784
  4. Step 4: Simplify right side
    150,884x = 109,418,054,656
  5. Step 5: Solve for x
    x = 109,418,054,656/150,884
  6. Step 6: Final answer
    x = 725,179.97

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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.