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Finding the Third Proportional to 193,920 and 284,496

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Solution

The third proportional to 193,920 and 284,496 is: 417,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,920 : 284,496 = 284,496 : x
  2. Step 2: Convert to fraction form
    193,920/284,496 = 284,496/x
  3. Step 3: Cross multiply
    193,920x = 284,496 × 284,496
  4. Step 4: Simplify right side
    193,920x = 80,937,974,016
  5. Step 5: Solve for x
    x = 80,937,974,016/193,920
  6. Step 6: Final answer
    x = 417,378.17

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Why These Related Problems?

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