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Finding the Third Proportional to 194,362 and 419,348

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Solution

The third proportional to 194,362 and 419,348 is: 904,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,362 : 419,348 = 419,348 : x
  2. Step 2: Convert to fraction form
    194,362/419,348 = 419,348/x
  3. Step 3: Cross multiply
    194,362x = 419,348 × 419,348
  4. Step 4: Simplify right side
    194,362x = 175,852,745,104
  5. Step 5: Solve for x
    x = 175,852,745,104/194,362
  6. Step 6: Final answer
    x = 904,769.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.