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Finding the Third Proportional to 239,652 and 366,750

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Solution

The third proportional to 239,652 and 366,750 is: 561,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,652 : 366,750 = 366,750 : x
  2. Step 2: Convert to fraction form
    239,652/366,750 = 366,750/x
  3. Step 3: Cross multiply
    239,652x = 366,750 × 366,750
  4. Step 4: Simplify right side
    239,652x = 134,505,562,500
  5. Step 5: Solve for x
    x = 134,505,562,500/239,652
  6. Step 6: Final answer
    x = 561,253.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.