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Finding the Third Proportional to 115,289 and 248,366

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Solution

The third proportional to 115,289 and 248,366 is: 535,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,289 : 248,366 = 248,366 : x
  2. Step 2: Convert to fraction form
    115,289/248,366 = 248,366/x
  3. Step 3: Cross multiply
    115,289x = 248,366 × 248,366
  4. Step 4: Simplify right side
    115,289x = 61,685,669,956
  5. Step 5: Solve for x
    x = 61,685,669,956/115,289
  6. Step 6: Final answer
    x = 535,052.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.