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Finding the Third Proportional to 177,773 and 330,327

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Solution

The third proportional to 177,773 and 330,327 is: 613,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,773 : 330,327 = 330,327 : x
  2. Step 2: Convert to fraction form
    177,773/330,327 = 330,327/x
  3. Step 3: Cross multiply
    177,773x = 330,327 × 330,327
  4. Step 4: Simplify right side
    177,773x = 109,115,926,929
  5. Step 5: Solve for x
    x = 109,115,926,929/177,773
  6. Step 6: Final answer
    x = 613,793.58

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.