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Finding the Third Proportional to 234,542.25 and 511,427.25

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Solution

The third proportional to 234,542.25 and 511,427.25 is: 1,115,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,542.25 : 511,427.25 = 511,427.25 : x
  2. Step 2: Convert to fraction form
    234,542.25/511,427.25 = 511,427.25/x
  3. Step 3: Cross multiply
    234,542.25x = 511,427.25 × 511,427.25
  4. Step 4: Simplify right side
    234,542.25x = 261,557,832,042.56
  5. Step 5: Solve for x
    x = 261,557,832,042.56/234,542.25
  6. Step 6: Final answer
    x = 1,115,184.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.