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Finding the Third Proportional to 194,617 and 419,230

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Solution

The third proportional to 194,617 and 419,230 is: 903,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,617 : 419,230 = 419,230 : x
  2. Step 2: Convert to fraction form
    194,617/419,230 = 419,230/x
  3. Step 3: Cross multiply
    194,617x = 419,230 × 419,230
  4. Step 4: Simplify right side
    194,617x = 175,753,792,900
  5. Step 5: Solve for x
    x = 175,753,792,900/194,617
  6. Step 6: Final answer
    x = 903,075.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.