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Finding the Third Proportional to 187,805.25 and 291,185.44

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Solution

The third proportional to 187,805.25 and 291,185.44 is: 451,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,805.25 : 291,185.44 = 291,185.44 : x
  2. Step 2: Convert to fraction form
    187,805.25/291,185.44 = 291,185.44/x
  3. Step 3: Cross multiply
    187,805.25x = 291,185.44 × 291,185.44
  4. Step 4: Simplify right side
    187,805.25x = 84,788,959,012.07
  5. Step 5: Solve for x
    x = 84,788,959,012.07/187,805.25
  6. Step 6: Final answer
    x = 451,472.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.