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Finding the Third Proportional to 354,150 and 534,189

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Solution

The third proportional to 354,150 and 534,189 is: 805,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,150 : 534,189 = 534,189 : x
  2. Step 2: Convert to fraction form
    354,150/534,189 = 534,189/x
  3. Step 3: Cross multiply
    354,150x = 534,189 × 534,189
  4. Step 4: Simplify right side
    354,150x = 285,357,887,721
  5. Step 5: Solve for x
    x = 285,357,887,721/354,150
  6. Step 6: Final answer
    x = 805,754.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.