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Finding the Third Proportional to 198,762 and 297,355

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Solution

The third proportional to 198,762 and 297,355 is: 444,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,762 : 297,355 = 297,355 : x
  2. Step 2: Convert to fraction form
    198,762/297,355 = 297,355/x
  3. Step 3: Cross multiply
    198,762x = 297,355 × 297,355
  4. Step 4: Simplify right side
    198,762x = 88,419,996,025
  5. Step 5: Solve for x
    x = 88,419,996,025/198,762
  6. Step 6: Final answer
    x = 444,853.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.