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Finding the Third Proportional to 269,968 and 419,101

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Solution

The third proportional to 269,968 and 419,101 is: 650,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,968 : 419,101 = 419,101 : x
  2. Step 2: Convert to fraction form
    269,968/419,101 = 419,101/x
  3. Step 3: Cross multiply
    269,968x = 419,101 × 419,101
  4. Step 4: Simplify right side
    269,968x = 175,645,648,201
  5. Step 5: Solve for x
    x = 175,645,648,201/269,968
  6. Step 6: Final answer
    x = 650,616.55

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Why These Related Problems?

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