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Finding the Third Proportional to 199,836 and 301,074

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Solution

The third proportional to 199,836 and 301,074 is: 453,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836 : 301,074 = 301,074 : x
  2. Step 2: Convert to fraction form
    199,836/301,074 = 301,074/x
  3. Step 3: Cross multiply
    199,836x = 301,074 × 301,074
  4. Step 4: Simplify right side
    199,836x = 90,645,553,476
  5. Step 5: Solve for x
    x = 90,645,553,476/199,836
  6. Step 6: Final answer
    x = 453,599.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.