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Finding the Third Proportional to 240,149.25 and 376,705.13

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Solution

The third proportional to 240,149.25 and 376,705.13 is: 590,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,149.25 : 376,705.13 = 376,705.13 : x
  2. Step 2: Convert to fraction form
    240,149.25/376,705.13 = 376,705.13/x
  3. Step 3: Cross multiply
    240,149.25x = 376,705.13 × 376,705.13
  4. Step 4: Simplify right side
    240,149.25x = 141,906,751,201.27
  5. Step 5: Solve for x
    x = 141,906,751,201.27/240,149.25
  6. Step 6: Final answer
    x = 590,910.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.