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Finding the Third Proportional to 178,213.50 and 259,301.25

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Solution

The third proportional to 178,213.50 and 259,301.25 is: 377,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,213.50 : 259,301.25 = 259,301.25 : x
  2. Step 2: Convert to fraction form
    178,213.50/259,301.25 = 259,301.25/x
  3. Step 3: Cross multiply
    178,213.50x = 259,301.25 × 259,301.25
  4. Step 4: Simplify right side
    178,213.50x = 67,237,138,251.56
  5. Step 5: Solve for x
    x = 67,237,138,251.56/178,213.50
  6. Step 6: Final answer
    x = 377,284.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.