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Finding the Third Proportional to 144,241 and 313,881

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Solution

The third proportional to 144,241 and 313,881 is: 683,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,241 : 313,881 = 313,881 : x
  2. Step 2: Convert to fraction form
    144,241/313,881 = 313,881/x
  3. Step 3: Cross multiply
    144,241x = 313,881 × 313,881
  4. Step 4: Simplify right side
    144,241x = 98,521,282,161
  5. Step 5: Solve for x
    x = 98,521,282,161/144,241
  6. Step 6: Final answer
    x = 683,032.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.