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Finding the Third Proportional to 154,530 and 233,961

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Solution

The third proportional to 154,530 and 233,961 is: 354,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,530 : 233,961 = 233,961 : x
  2. Step 2: Convert to fraction form
    154,530/233,961 = 233,961/x
  3. Step 3: Cross multiply
    154,530x = 233,961 × 233,961
  4. Step 4: Simplify right side
    154,530x = 54,737,749,521
  5. Step 5: Solve for x
    x = 54,737,749,521/154,530
  6. Step 6: Final answer
    x = 354,220.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.