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Finding the Third Proportional to 144,891.75 and 311,208.13

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Solution

The third proportional to 144,891.75 and 311,208.13 is: 668,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891.75 : 311,208.13 = 311,208.13 : x
  2. Step 2: Convert to fraction form
    144,891.75/311,208.13 = 311,208.13/x
  3. Step 3: Cross multiply
    144,891.75x = 311,208.13 × 311,208.13
  4. Step 4: Simplify right side
    144,891.75x = 96,850,497,066.02
  5. Step 5: Solve for x
    x = 96,850,497,066.02/144,891.75
  6. Step 6: Final answer
    x = 668,433.48

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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.