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Finding the Third Proportional to 178,972 and 250,860

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Solution

The third proportional to 178,972 and 250,860 is: 351,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,972 : 250,860 = 250,860 : x
  2. Step 2: Convert to fraction form
    178,972/250,860 = 250,860/x
  3. Step 3: Cross multiply
    178,972x = 250,860 × 250,860
  4. Step 4: Simplify right side
    178,972x = 62,930,739,600
  5. Step 5: Solve for x
    x = 62,930,739,600/178,972
  6. Step 6: Final answer
    x = 351,623.38

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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.