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Finding the Third Proportional to 181,352.25 and 285,940.13

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Solution

The third proportional to 181,352.25 and 285,940.13 is: 450,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,352.25 : 285,940.13 = 285,940.13 : x
  2. Step 2: Convert to fraction form
    181,352.25/285,940.13 = 285,940.13/x
  3. Step 3: Cross multiply
    181,352.25x = 285,940.13 × 285,940.13
  4. Step 4: Simplify right side
    181,352.25x = 81,761,755,085.02
  5. Step 5: Solve for x
    x = 81,761,755,085.02/181,352.25
  6. Step 6: Final answer
    x = 450,845.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.