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Finding the Third Proportional to 188,361 and 413,901

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Solution

The third proportional to 188,361 and 413,901 is: 909,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,361 : 413,901 = 413,901 : x
  2. Step 2: Convert to fraction form
    188,361/413,901 = 413,901/x
  3. Step 3: Cross multiply
    188,361x = 413,901 × 413,901
  4. Step 4: Simplify right side
    188,361x = 171,314,037,801
  5. Step 5: Solve for x
    x = 171,314,037,801/188,361
  6. Step 6: Final answer
    x = 909,498.45

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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.