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Finding the Third Proportional to 193,771.50 and 425,739

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Solution

The third proportional to 193,771.50 and 425,739 is: 935,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,771.50 : 425,739 = 425,739 : x
  2. Step 2: Convert to fraction form
    193,771.50/425,739 = 425,739/x
  3. Step 3: Cross multiply
    193,771.50x = 425,739 × 425,739
  4. Step 4: Simplify right side
    193,771.50x = 181,253,696,121
  5. Step 5: Solve for x
    x = 181,253,696,121/193,771.50
  6. Step 6: Final answer
    x = 935,399.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.