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Finding the Third Proportional to 144,622.69 and 311,470.31

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Solution

The third proportional to 144,622.69 and 311,470.31 is: 670,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,622.69 : 311,470.31 = 311,470.31 : x
  2. Step 2: Convert to fraction form
    144,622.69/311,470.31 = 311,470.31/x
  3. Step 3: Cross multiply
    144,622.69x = 311,470.31 × 311,470.31
  4. Step 4: Simplify right side
    144,622.69x = 97,013,755,568.85
  5. Step 5: Solve for x
    x = 97,013,755,568.85/144,622.69
  6. Step 6: Final answer
    x = 670,805.92

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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.