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Finding the Third Proportional to 198,764 and 297,358

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Solution

The third proportional to 198,764 and 297,358 is: 444,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,764 : 297,358 = 297,358 : x
  2. Step 2: Convert to fraction form
    198,764/297,358 = 297,358/x
  3. Step 3: Cross multiply
    198,764x = 297,358 × 297,358
  4. Step 4: Simplify right side
    198,764x = 88,421,780,164
  5. Step 5: Solve for x
    x = 88,421,780,164/198,764
  6. Step 6: Final answer
    x = 444,858.12

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