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Finding the Third Proportional to 144,910.69 and 311,244.19

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Solution

The third proportional to 144,910.69 and 311,244.19 is: 668,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910.69 : 311,244.19 = 311,244.19 : x
  2. Step 2: Convert to fraction form
    144,910.69/311,244.19 = 311,244.19/x
  3. Step 3: Cross multiply
    144,910.69x = 311,244.19 × 311,244.19
  4. Step 4: Simplify right side
    144,910.69x = 96,872,944,252.54
  5. Step 5: Solve for x
    x = 96,872,944,252.54/144,910.69
  6. Step 6: Final answer
    x = 668,501.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.