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Finding the Third Proportional to 198,500 and 297,786

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Solution

The third proportional to 198,500 and 297,786 is: 446,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,500 : 297,786 = 297,786 : x
  2. Step 2: Convert to fraction form
    198,500/297,786 = 297,786/x
  3. Step 3: Cross multiply
    198,500x = 297,786 × 297,786
  4. Step 4: Simplify right side
    198,500x = 88,676,501,796
  5. Step 5: Solve for x
    x = 88,676,501,796/198,500
  6. Step 6: Final answer
    x = 446,733.01

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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.