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Finding the Third Proportional to 141,212 and 216,327

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Solution

The third proportional to 141,212 and 216,327 is: 331,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,212 : 216,327 = 216,327 : x
  2. Step 2: Convert to fraction form
    141,212/216,327 = 216,327/x
  3. Step 3: Cross multiply
    141,212x = 216,327 × 216,327
  4. Step 4: Simplify right side
    141,212x = 46,797,370,929
  5. Step 5: Solve for x
    x = 46,797,370,929/141,212
  6. Step 6: Final answer
    x = 331,397.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.