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Finding the Third Proportional to 111,235 and 239,967

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Solution

The third proportional to 111,235 and 239,967 is: 517,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,235 : 239,967 = 239,967 : x
  2. Step 2: Convert to fraction form
    111,235/239,967 = 239,967/x
  3. Step 3: Cross multiply
    111,235x = 239,967 × 239,967
  4. Step 4: Simplify right side
    111,235x = 57,584,161,089
  5. Step 5: Solve for x
    x = 57,584,161,089/111,235
  6. Step 6: Final answer
    x = 517,680.24

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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.