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Finding the Third Proportional to 110,268 and 239,207

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Solution

The third proportional to 110,268 and 239,207 is: 518,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,268 : 239,207 = 239,207 : x
  2. Step 2: Convert to fraction form
    110,268/239,207 = 239,207/x
  3. Step 3: Cross multiply
    110,268x = 239,207 × 239,207
  4. Step 4: Simplify right side
    110,268x = 57,219,988,849
  5. Step 5: Solve for x
    x = 57,219,988,849/110,268
  6. Step 6: Final answer
    x = 518,917.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.