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Finding the Third Proportional to 199,818 and 301,845

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Solution

The third proportional to 199,818 and 301,845 is: 455,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818 : 301,845 = 301,845 : x
  2. Step 2: Convert to fraction form
    199,818/301,845 = 301,845/x
  3. Step 3: Cross multiply
    199,818x = 301,845 × 301,845
  4. Step 4: Simplify right side
    199,818x = 91,110,404,025
  5. Step 5: Solve for x
    x = 91,110,404,025/199,818
  6. Step 6: Final answer
    x = 455,966.95

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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.