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Finding the Third Proportional to 178,794 and 372,285

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Solution

The third proportional to 178,794 and 372,285 is: 775,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,794 : 372,285 = 372,285 : x
  2. Step 2: Convert to fraction form
    178,794/372,285 = 372,285/x
  3. Step 3: Cross multiply
    178,794x = 372,285 × 372,285
  4. Step 4: Simplify right side
    178,794x = 138,596,121,225
  5. Step 5: Solve for x
    x = 138,596,121,225/178,794
  6. Step 6: Final answer
    x = 775,172.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.