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Finding the Third Proportional to 178,741 and 250,007

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Solution

The third proportional to 178,741 and 250,007 is: 349,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,741 : 250,007 = 250,007 : x
  2. Step 2: Convert to fraction form
    178,741/250,007 = 250,007/x
  3. Step 3: Cross multiply
    178,741x = 250,007 × 250,007
  4. Step 4: Simplify right side
    178,741x = 62,503,500,049
  5. Step 5: Solve for x
    x = 62,503,500,049/178,741
  6. Step 6: Final answer
    x = 349,687.54

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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.