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Finding the Third Proportional to 144,326 and 214,950

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Solution

The third proportional to 144,326 and 214,950 is: 320,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,326 : 214,950 = 214,950 : x
  2. Step 2: Convert to fraction form
    144,326/214,950 = 214,950/x
  3. Step 3: Cross multiply
    144,326x = 214,950 × 214,950
  4. Step 4: Simplify right side
    144,326x = 46,203,502,500
  5. Step 5: Solve for x
    x = 46,203,502,500/144,326
  6. Step 6: Final answer
    x = 320,132.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.