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Finding the Third Proportional to 203,532 and 434,108

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Solution

The third proportional to 203,532 and 434,108 is: 925,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,532 : 434,108 = 434,108 : x
  2. Step 2: Convert to fraction form
    203,532/434,108 = 434,108/x
  3. Step 3: Cross multiply
    203,532x = 434,108 × 434,108
  4. Step 4: Simplify right side
    203,532x = 188,449,755,664
  5. Step 5: Solve for x
    x = 188,449,755,664/203,532
  6. Step 6: Final answer
    x = 925,897.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.