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Finding the Third Proportional to 182,481.75 and 290,584.13

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Solution

The third proportional to 182,481.75 and 290,584.13 is: 462,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,481.75 : 290,584.13 = 290,584.13 : x
  2. Step 2: Convert to fraction form
    182,481.75/290,584.13 = 290,584.13/x
  3. Step 3: Cross multiply
    182,481.75x = 290,584.13 × 290,584.13
  4. Step 4: Simplify right side
    182,481.75x = 84,439,133,702.02
  5. Step 5: Solve for x
    x = 84,439,133,702.02/182,481.75
  6. Step 6: Final answer
    x = 462,726.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.