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Finding the Third Proportional to 144,149 and 331,796

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Solution

The third proportional to 144,149 and 331,796 is: 763,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,149 : 331,796 = 331,796 : x
  2. Step 2: Convert to fraction form
    144,149/331,796 = 331,796/x
  3. Step 3: Cross multiply
    144,149x = 331,796 × 331,796
  4. Step 4: Simplify right side
    144,149x = 110,088,585,616
  5. Step 5: Solve for x
    x = 110,088,585,616/144,149
  6. Step 6: Final answer
    x = 763,713.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.