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Finding the Third Proportional to 183,028.50 and 374,976

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Solution

The third proportional to 183,028.50 and 374,976 is: 768,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,028.50 : 374,976 = 374,976 : x
  2. Step 2: Convert to fraction form
    183,028.50/374,976 = 374,976/x
  3. Step 3: Cross multiply
    183,028.50x = 374,976 × 374,976
  4. Step 4: Simplify right side
    183,028.50x = 140,607,000,576
  5. Step 5: Solve for x
    x = 140,607,000,576/183,028.50
  6. Step 6: Final answer
    x = 768,224.62

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Why These Related Problems?

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