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Finding the Third Proportional to 144,819 and 214,971

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Solution

The third proportional to 144,819 and 214,971 is: 319,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,819 : 214,971 = 214,971 : x
  2. Step 2: Convert to fraction form
    144,819/214,971 = 214,971/x
  3. Step 3: Cross multiply
    144,819x = 214,971 × 214,971
  4. Step 4: Simplify right side
    144,819x = 46,212,530,841
  5. Step 5: Solve for x
    x = 46,212,530,841/144,819
  6. Step 6: Final answer
    x = 319,105.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.