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Finding the Third Proportional to 178,424.25 and 371,651.25

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Solution

The third proportional to 178,424.25 and 371,651.25 is: 774,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,424.25 : 371,651.25 = 371,651.25 : x
  2. Step 2: Convert to fraction form
    178,424.25/371,651.25 = 371,651.25/x
  3. Step 3: Cross multiply
    178,424.25x = 371,651.25 × 371,651.25
  4. Step 4: Simplify right side
    178,424.25x = 138,124,651,626.56
  5. Step 5: Solve for x
    x = 138,124,651,626.56/178,424.25
  6. Step 6: Final answer
    x = 774,136.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.