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Finding the Third Proportional to 188,254 and 413,372

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Solution

The third proportional to 188,254 and 413,372 is: 907,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,254 : 413,372 = 413,372 : x
  2. Step 2: Convert to fraction form
    188,254/413,372 = 413,372/x
  3. Step 3: Cross multiply
    188,254x = 413,372 × 413,372
  4. Step 4: Simplify right side
    188,254x = 170,876,410,384
  5. Step 5: Solve for x
    x = 170,876,410,384/188,254
  6. Step 6: Final answer
    x = 907,690.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.