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Finding the Third Proportional to 70,819.50 and 155,247

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Solution

The third proportional to 70,819.50 and 155,247 is: 340,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.50 : 155,247 = 155,247 : x
  2. Step 2: Convert to fraction form
    70,819.50/155,247 = 155,247/x
  3. Step 3: Cross multiply
    70,819.50x = 155,247 × 155,247
  4. Step 4: Simplify right side
    70,819.50x = 24,101,631,009
  5. Step 5: Solve for x
    x = 24,101,631,009/70,819.50
  6. Step 6: Final answer
    x = 340,324.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.