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Finding the Third Proportional to 199,026 and 297,808

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Solution

The third proportional to 199,026 and 297,808 is: 445,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,026 : 297,808 = 297,808 : x
  2. Step 2: Convert to fraction form
    199,026/297,808 = 297,808/x
  3. Step 3: Cross multiply
    199,026x = 297,808 × 297,808
  4. Step 4: Simplify right side
    199,026x = 88,689,604,864
  5. Step 5: Solve for x
    x = 88,689,604,864/199,026
  6. Step 6: Final answer
    x = 445,618.18

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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.