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Finding the Third Proportional to 205,134 and 431,001

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Solution

The third proportional to 205,134 and 431,001 is: 905,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,134 : 431,001 = 431,001 : x
  2. Step 2: Convert to fraction form
    205,134/431,001 = 431,001/x
  3. Step 3: Cross multiply
    205,134x = 431,001 × 431,001
  4. Step 4: Simplify right side
    205,134x = 185,761,862,001
  5. Step 5: Solve for x
    x = 185,761,862,001/205,134
  6. Step 6: Final answer
    x = 905,563.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.