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Finding the Third Proportional to 144,827 and 311,448

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Solution

The third proportional to 144,827 and 311,448 is: 669,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,827 : 311,448 = 311,448 : x
  2. Step 2: Convert to fraction form
    144,827/311,448 = 311,448/x
  3. Step 3: Cross multiply
    144,827x = 311,448 × 311,448
  4. Step 4: Simplify right side
    144,827x = 96,999,856,704
  5. Step 5: Solve for x
    x = 96,999,856,704/144,827
  6. Step 6: Final answer
    x = 669,763.63

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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.