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Finding the Third Proportional to 175,616 and 377,908

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Solution

The third proportional to 175,616 and 377,908 is: 813,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,616 : 377,908 = 377,908 : x
  2. Step 2: Convert to fraction form
    175,616/377,908 = 377,908/x
  3. Step 3: Cross multiply
    175,616x = 377,908 × 377,908
  4. Step 4: Simplify right side
    175,616x = 142,814,456,464
  5. Step 5: Solve for x
    x = 142,814,456,464/175,616
  6. Step 6: Final answer
    x = 813,220.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.