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Finding the Third Proportional to 204,498.16 and 437,427.31

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Solution

The third proportional to 204,498.16 and 437,427.31 is: 935,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498.16 : 437,427.31 = 437,427.31 : x
  2. Step 2: Convert to fraction form
    204,498.16/437,427.31 = 437,427.31/x
  3. Step 3: Cross multiply
    204,498.16x = 437,427.31 × 437,427.31
  4. Step 4: Simplify right side
    204,498.16x = 191,342,653,720.97
  5. Step 5: Solve for x
    x = 191,342,653,720.97/204,498.16
  6. Step 6: Final answer
    x = 935,669.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.