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Finding the Third Proportional to 197,581.50 and 426,267

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Solution

The third proportional to 197,581.50 and 426,267 is: 919,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,581.50 : 426,267 = 426,267 : x
  2. Step 2: Convert to fraction form
    197,581.50/426,267 = 426,267/x
  3. Step 3: Cross multiply
    197,581.50x = 426,267 × 426,267
  4. Step 4: Simplify right side
    197,581.50x = 181,703,555,289
  5. Step 5: Solve for x
    x = 181,703,555,289/197,581.50
  6. Step 6: Final answer
    x = 919,638.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.