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Finding the Third Proportional to 179,186 and 376,760

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Solution

The third proportional to 179,186 and 376,760 is: 792,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,186 : 376,760 = 376,760 : x
  2. Step 2: Convert to fraction form
    179,186/376,760 = 376,760/x
  3. Step 3: Cross multiply
    179,186x = 376,760 × 376,760
  4. Step 4: Simplify right side
    179,186x = 141,948,097,600
  5. Step 5: Solve for x
    x = 141,948,097,600/179,186
  6. Step 6: Final answer
    x = 792,182.97

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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.