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Finding the Third Proportional to 131,261.50 and 198,092

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Solution

The third proportional to 131,261.50 and 198,092 is: 298,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,261.50 : 198,092 = 198,092 : x
  2. Step 2: Convert to fraction form
    131,261.50/198,092 = 198,092/x
  3. Step 3: Cross multiply
    131,261.50x = 198,092 × 198,092
  4. Step 4: Simplify right side
    131,261.50x = 39,240,440,464
  5. Step 5: Solve for x
    x = 39,240,440,464/131,261.50
  6. Step 6: Final answer
    x = 298,948.59

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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.