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Finding the Third Proportional to 225,032 and 339,276

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Solution

The third proportional to 225,032 and 339,276 is: 511,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,032 : 339,276 = 339,276 : x
  2. Step 2: Convert to fraction form
    225,032/339,276 = 339,276/x
  3. Step 3: Cross multiply
    225,032x = 339,276 × 339,276
  4. Step 4: Simplify right side
    225,032x = 115,108,204,176
  5. Step 5: Solve for x
    x = 115,108,204,176/225,032
  6. Step 6: Final answer
    x = 511,519.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.