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Finding the Third Proportional to 144,610.31 and 311,419.69

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Solution

The third proportional to 144,610.31 and 311,419.69 is: 670,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,610.31 : 311,419.69 = 311,419.69 : x
  2. Step 2: Convert to fraction form
    144,610.31/311,419.69 = 311,419.69/x
  3. Step 3: Cross multiply
    144,610.31x = 311,419.69 × 311,419.69
  4. Step 4: Simplify right side
    144,610.31x = 96,982,221,762.60
  5. Step 5: Solve for x
    x = 96,982,221,762.60/144,610.31
  6. Step 6: Final answer
    x = 670,645.27

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