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Finding the Third Proportional to 192,768 and 427,008

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Solution

The third proportional to 192,768 and 427,008 is: 945,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,768 : 427,008 = 427,008 : x
  2. Step 2: Convert to fraction form
    192,768/427,008 = 427,008/x
  3. Step 3: Cross multiply
    192,768x = 427,008 × 427,008
  4. Step 4: Simplify right side
    192,768x = 182,335,832,064
  5. Step 5: Solve for x
    x = 182,335,832,064/192,768
  6. Step 6: Final answer
    x = 945,882.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.