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Finding the Third Proportional to 150,431 and 330,382

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Solution

The third proportional to 150,431 and 330,382 is: 725,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,431 : 330,382 = 330,382 : x
  2. Step 2: Convert to fraction form
    150,431/330,382 = 330,382/x
  3. Step 3: Cross multiply
    150,431x = 330,382 × 330,382
  4. Step 4: Simplify right side
    150,431x = 109,152,265,924
  5. Step 5: Solve for x
    x = 109,152,265,924/150,431
  6. Step 6: Final answer
    x = 725,596.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.