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Finding the Third Proportional to 187,792.88 and 405,654.75

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Solution

The third proportional to 187,792.88 and 405,654.75 is: 876,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,792.88 : 405,654.75 = 405,654.75 : x
  2. Step 2: Convert to fraction form
    187,792.88/405,654.75 = 405,654.75/x
  3. Step 3: Cross multiply
    187,792.88x = 405,654.75 × 405,654.75
  4. Step 4: Simplify right side
    187,792.88x = 164,555,776,197.56
  5. Step 5: Solve for x
    x = 164,555,776,197.56/187,792.88
  6. Step 6: Final answer
    x = 876,262.09

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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.