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Finding the Third Proportional to 226,356 and 339,561

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Solution

The third proportional to 226,356 and 339,561 is: 509,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,356 : 339,561 = 339,561 : x
  2. Step 2: Convert to fraction form
    226,356/339,561 = 339,561/x
  3. Step 3: Cross multiply
    226,356x = 339,561 × 339,561
  4. Step 4: Simplify right side
    226,356x = 115,301,672,721
  5. Step 5: Solve for x
    x = 115,301,672,721/226,356
  6. Step 6: Final answer
    x = 509,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.