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Finding the Third Proportional to 190,649 and 376,510

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Solution

The third proportional to 190,649 and 376,510 is: 743,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,649 : 376,510 = 376,510 : x
  2. Step 2: Convert to fraction form
    190,649/376,510 = 376,510/x
  3. Step 3: Cross multiply
    190,649x = 376,510 × 376,510
  4. Step 4: Simplify right side
    190,649x = 141,759,780,100
  5. Step 5: Solve for x
    x = 141,759,780,100/190,649
  6. Step 6: Final answer
    x = 743,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.