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Finding the Third Proportional to 183,538 and 389,108

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Solution

The third proportional to 183,538 and 389,108 is: 824,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,538 : 389,108 = 389,108 : x
  2. Step 2: Convert to fraction form
    183,538/389,108 = 389,108/x
  3. Step 3: Cross multiply
    183,538x = 389,108 × 389,108
  4. Step 4: Simplify right side
    183,538x = 151,405,035,664
  5. Step 5: Solve for x
    x = 151,405,035,664/183,538
  6. Step 6: Final answer
    x = 824,924.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.