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Finding the Third Proportional to 190,622 and 280,386

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Solution

The third proportional to 190,622 and 280,386 is: 412,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,622 : 280,386 = 280,386 : x
  2. Step 2: Convert to fraction form
    190,622/280,386 = 280,386/x
  3. Step 3: Cross multiply
    190,622x = 280,386 × 280,386
  4. Step 4: Simplify right side
    190,622x = 78,616,308,996
  5. Step 5: Solve for x
    x = 78,616,308,996/190,622
  6. Step 6: Final answer
    x = 412,419.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.