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Finding the Third Proportional to 197,668 and 425,355

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Solution

The third proportional to 197,668 and 425,355 is: 915,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,668 : 425,355 = 425,355 : x
  2. Step 2: Convert to fraction form
    197,668/425,355 = 425,355/x
  3. Step 3: Cross multiply
    197,668x = 425,355 × 425,355
  4. Step 4: Simplify right side
    197,668x = 180,926,876,025
  5. Step 5: Solve for x
    x = 180,926,876,025/197,668
  6. Step 6: Final answer
    x = 915,306.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.