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Finding the Third Proportional to 197,666.25 and 431,109.75

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Solution

The third proportional to 197,666.25 and 431,109.75 is: 940,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666.25 : 431,109.75 = 431,109.75 : x
  2. Step 2: Convert to fraction form
    197,666.25/431,109.75 = 431,109.75/x
  3. Step 3: Cross multiply
    197,666.25x = 431,109.75 × 431,109.75
  4. Step 4: Simplify right side
    197,666.25x = 185,855,616,545.06
  5. Step 5: Solve for x
    x = 185,855,616,545.06/197,666.25
  6. Step 6: Final answer
    x = 940,249.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.