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Finding the Third Proportional to 73,476 and 150,824

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Solution

The third proportional to 73,476 and 150,824 is: 309,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,476 : 150,824 = 150,824 : x
  2. Step 2: Convert to fraction form
    73,476/150,824 = 150,824/x
  3. Step 3: Cross multiply
    73,476x = 150,824 × 150,824
  4. Step 4: Simplify right side
    73,476x = 22,747,878,976
  5. Step 5: Solve for x
    x = 22,747,878,976/73,476
  6. Step 6: Final answer
    x = 309,596.04

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.