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Finding the Third Proportional to 140,448 and 303,616

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Solution

The third proportional to 140,448 and 303,616 is: 656,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,448 : 303,616 = 303,616 : x
  2. Step 2: Convert to fraction form
    140,448/303,616 = 303,616/x
  3. Step 3: Cross multiply
    140,448x = 303,616 × 303,616
  4. Step 4: Simplify right side
    140,448x = 92,182,675,456
  5. Step 5: Solve for x
    x = 92,182,675,456/140,448
  6. Step 6: Final answer
    x = 656,347.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.