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Finding the Third Proportional to 177,833 and 316,193

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Solution

The third proportional to 177,833 and 316,193 is: 562,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,833 : 316,193 = 316,193 : x
  2. Step 2: Convert to fraction form
    177,833/316,193 = 316,193/x
  3. Step 3: Cross multiply
    177,833x = 316,193 × 316,193
  4. Step 4: Simplify right side
    177,833x = 99,978,013,249
  5. Step 5: Solve for x
    x = 99,978,013,249/177,833
  6. Step 6: Final answer
    x = 562,201.69

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.