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Finding the Third Proportional to 187,427.25 and 404,790.75

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Solution

The third proportional to 187,427.25 and 404,790.75 is: 874,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,427.25 : 404,790.75 = 404,790.75 : x
  2. Step 2: Convert to fraction form
    187,427.25/404,790.75 = 404,790.75/x
  3. Step 3: Cross multiply
    187,427.25x = 404,790.75 × 404,790.75
  4. Step 4: Simplify right side
    187,427.25x = 163,855,551,285.56
  5. Step 5: Solve for x
    x = 163,855,551,285.56/187,427.25
  6. Step 6: Final answer
    x = 874,235.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.