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Finding the Third Proportional to 131,958 and 284,327

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Solution

The third proportional to 131,958 and 284,327 is: 612,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,958 : 284,327 = 284,327 : x
  2. Step 2: Convert to fraction form
    131,958/284,327 = 284,327/x
  3. Step 3: Cross multiply
    131,958x = 284,327 × 284,327
  4. Step 4: Simplify right side
    131,958x = 80,841,842,929
  5. Step 5: Solve for x
    x = 80,841,842,929/131,958
  6. Step 6: Final answer
    x = 612,633.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.