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Finding the Third Proportional to 199,012 and 308,022

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Solution

The third proportional to 199,012 and 308,022 is: 476,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,012 : 308,022 = 308,022 : x
  2. Step 2: Convert to fraction form
    199,012/308,022 = 308,022/x
  3. Step 3: Cross multiply
    199,012x = 308,022 × 308,022
  4. Step 4: Simplify right side
    199,012x = 94,877,552,484
  5. Step 5: Solve for x
    x = 94,877,552,484/199,012
  6. Step 6: Final answer
    x = 476,742.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.