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Finding the Third Proportional to 141,566.06 and 311,107.50

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Solution

The third proportional to 141,566.06 and 311,107.50 is: 683,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,566.06 : 311,107.50 = 311,107.50 : x
  2. Step 2: Convert to fraction form
    141,566.06/311,107.50 = 311,107.50/x
  3. Step 3: Cross multiply
    141,566.06x = 311,107.50 × 311,107.50
  4. Step 4: Simplify right side
    141,566.06x = 96,787,876,556.25
  5. Step 5: Solve for x
    x = 96,787,876,556.25/141,566.06
  6. Step 6: Final answer
    x = 683,694.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.