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Finding the Third Proportional to 195,657.75 and 311,238

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Solution

The third proportional to 195,657.75 and 311,238 is: 495,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,657.75 : 311,238 = 311,238 : x
  2. Step 2: Convert to fraction form
    195,657.75/311,238 = 311,238/x
  3. Step 3: Cross multiply
    195,657.75x = 311,238 × 311,238
  4. Step 4: Simplify right side
    195,657.75x = 96,869,092,644
  5. Step 5: Solve for x
    x = 96,869,092,644/195,657.75
  6. Step 6: Final answer
    x = 495,094.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.