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Finding the Third Proportional to 199,022 and 298,410

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Solution

The third proportional to 199,022 and 298,410 is: 447,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,022 : 298,410 = 298,410 : x
  2. Step 2: Convert to fraction form
    199,022/298,410 = 298,410/x
  3. Step 3: Cross multiply
    199,022x = 298,410 × 298,410
  4. Step 4: Simplify right side
    199,022x = 89,048,528,100
  5. Step 5: Solve for x
    x = 89,048,528,100/199,022
  6. Step 6: Final answer
    x = 447,430.58

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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.