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Finding the Third Proportional to 146,640.38 and 319,524.75

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Solution

The third proportional to 146,640.38 and 319,524.75 is: 696,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,640.38 : 319,524.75 = 319,524.75 : x
  2. Step 2: Convert to fraction form
    146,640.38/319,524.75 = 319,524.75/x
  3. Step 3: Cross multiply
    146,640.38x = 319,524.75 × 319,524.75
  4. Step 4: Simplify right side
    146,640.38x = 102,096,065,862.56
  5. Step 5: Solve for x
    x = 102,096,065,862.56/146,640.38
  6. Step 6: Final answer
    x = 696,234.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.