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Finding the Third Proportional to 144,320 and 214,941

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Solution

The third proportional to 144,320 and 214,941 is: 320,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,320 : 214,941 = 214,941 : x
  2. Step 2: Convert to fraction form
    144,320/214,941 = 214,941/x
  3. Step 3: Cross multiply
    144,320x = 214,941 × 214,941
  4. Step 4: Simplify right side
    144,320x = 46,199,633,481
  5. Step 5: Solve for x
    x = 46,199,633,481/144,320
  6. Step 6: Final answer
    x = 320,119.41

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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.