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Finding the Third Proportional to 149,092 and 239,406

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Solution

The third proportional to 149,092 and 239,406 is: 384,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,092 : 239,406 = 239,406 : x
  2. Step 2: Convert to fraction form
    149,092/239,406 = 239,406/x
  3. Step 3: Cross multiply
    149,092x = 239,406 × 239,406
  4. Step 4: Simplify right side
    149,092x = 57,315,232,836
  5. Step 5: Solve for x
    x = 57,315,232,836/149,092
  6. Step 6: Final answer
    x = 384,428.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.