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Finding the Third Proportional to 201,291 and 434,107

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Solution

The third proportional to 201,291 and 434,107 is: 936,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,291 : 434,107 = 434,107 : x
  2. Step 2: Convert to fraction form
    201,291/434,107 = 434,107/x
  3. Step 3: Cross multiply
    201,291x = 434,107 × 434,107
  4. Step 4: Simplify right side
    201,291x = 188,448,887,449
  5. Step 5: Solve for x
    x = 188,448,887,449/201,291
  6. Step 6: Final answer
    x = 936,201.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.