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Finding the Third Proportional to 182,061 and 371,351.25

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Solution

The third proportional to 182,061 and 371,351.25 is: 757,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,061 : 371,351.25 = 371,351.25 : x
  2. Step 2: Convert to fraction form
    182,061/371,351.25 = 371,351.25/x
  3. Step 3: Cross multiply
    182,061x = 371,351.25 × 371,351.25
  4. Step 4: Simplify right side
    182,061x = 137,901,750,876.56
  5. Step 5: Solve for x
    x = 137,901,750,876.56/182,061
  6. Step 6: Final answer
    x = 757,448.06

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.