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Finding the Third Proportional to 225,036 and 339,282

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Solution

The third proportional to 225,036 and 339,282 is: 511,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,036 : 339,282 = 339,282 : x
  2. Step 2: Convert to fraction form
    225,036/339,282 = 339,282/x
  3. Step 3: Cross multiply
    225,036x = 339,282 × 339,282
  4. Step 4: Simplify right side
    225,036x = 115,112,275,524
  5. Step 5: Solve for x
    x = 115,112,275,524/225,036
  6. Step 6: Final answer
    x = 511,528.27

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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.