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Finding the Third Proportional to 144,809.44 and 311,411.25

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Solution

The third proportional to 144,809.44 and 311,411.25 is: 669,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,809.44 : 311,411.25 = 311,411.25 : x
  2. Step 2: Convert to fraction form
    144,809.44/311,411.25 = 311,411.25/x
  3. Step 3: Cross multiply
    144,809.44x = 311,411.25 × 311,411.25
  4. Step 4: Simplify right side
    144,809.44x = 96,976,966,626.56
  5. Step 5: Solve for x
    x = 96,976,966,626.56/144,809.44
  6. Step 6: Final answer
    x = 669,686.78

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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.