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Finding the Third Proportional to 144,902 and 313,918

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Solution

The third proportional to 144,902 and 313,918 is: 680,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902 : 313,918 = 313,918 : x
  2. Step 2: Convert to fraction form
    144,902/313,918 = 313,918/x
  3. Step 3: Cross multiply
    144,902x = 313,918 × 313,918
  4. Step 4: Simplify right side
    144,902x = 98,544,510,724
  5. Step 5: Solve for x
    x = 98,544,510,724/144,902
  6. Step 6: Final answer
    x = 680,076.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.