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Finding the Third Proportional to 179,373 and 377,336

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Solution

The third proportional to 179,373 and 377,336 is: 793,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,373 : 377,336 = 377,336 : x
  2. Step 2: Convert to fraction form
    179,373/377,336 = 377,336/x
  3. Step 3: Cross multiply
    179,373x = 377,336 × 377,336
  4. Step 4: Simplify right side
    179,373x = 142,382,456,896
  5. Step 5: Solve for x
    x = 142,382,456,896/179,373
  6. Step 6: Final answer
    x = 793,778.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.