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Finding the Third Proportional to 150,616 and 225,940

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Solution

The third proportional to 150,616 and 225,940 is: 338,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,616 : 225,940 = 225,940 : x
  2. Step 2: Convert to fraction form
    150,616/225,940 = 225,940/x
  3. Step 3: Cross multiply
    150,616x = 225,940 × 225,940
  4. Step 4: Simplify right side
    150,616x = 51,048,883,600
  5. Step 5: Solve for x
    x = 51,048,883,600/150,616
  6. Step 6: Final answer
    x = 338,934.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.