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Finding the Third Proportional to 144,826.31 and 319,101.19

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Solution

The third proportional to 144,826.31 and 319,101.19 is: 703,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,826.31 : 319,101.19 = 319,101.19 : x
  2. Step 2: Convert to fraction form
    144,826.31/319,101.19 = 319,101.19/x
  3. Step 3: Cross multiply
    144,826.31x = 319,101.19 × 319,101.19
  4. Step 4: Simplify right side
    144,826.31x = 101,825,567,863.91
  5. Step 5: Solve for x
    x = 101,825,567,863.91/144,826.31
  6. Step 6: Final answer
    x = 703,087.49

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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.