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Finding the Third Proportional to 178,858 and 250,665

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Solution

The third proportional to 178,858 and 250,665 is: 351,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,858 : 250,665 = 250,665 : x
  2. Step 2: Convert to fraction form
    178,858/250,665 = 250,665/x
  3. Step 3: Cross multiply
    178,858x = 250,665 × 250,665
  4. Step 4: Simplify right side
    178,858x = 62,832,942,225
  5. Step 5: Solve for x
    x = 62,832,942,225/178,858
  6. Step 6: Final answer
    x = 351,300.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.