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Finding the Third Proportional to 139,844.50 and 311,261

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Solution

The third proportional to 139,844.50 and 311,261 is: 692,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,844.50 : 311,261 = 311,261 : x
  2. Step 2: Convert to fraction form
    139,844.50/311,261 = 311,261/x
  3. Step 3: Cross multiply
    139,844.50x = 311,261 × 311,261
  4. Step 4: Simplify right side
    139,844.50x = 96,883,410,121
  5. Step 5: Solve for x
    x = 96,883,410,121/139,844.50
  6. Step 6: Final answer
    x = 692,793.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.