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Finding the Third Proportional to 111,032 and 239,788

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Solution

The third proportional to 111,032 and 239,788 is: 517,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,032 : 239,788 = 239,788 : x
  2. Step 2: Convert to fraction form
    111,032/239,788 = 239,788/x
  3. Step 3: Cross multiply
    111,032x = 239,788 × 239,788
  4. Step 4: Simplify right side
    111,032x = 57,498,284,944
  5. Step 5: Solve for x
    x = 57,498,284,944/111,032
  6. Step 6: Final answer
    x = 517,853.28

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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.