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Finding the Third Proportional to 177,496 and 389,012

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Solution

The third proportional to 177,496 and 389,012 is: 852,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,496 : 389,012 = 389,012 : x
  2. Step 2: Convert to fraction form
    177,496/389,012 = 389,012/x
  3. Step 3: Cross multiply
    177,496x = 389,012 × 389,012
  4. Step 4: Simplify right side
    177,496x = 151,330,336,144
  5. Step 5: Solve for x
    x = 151,330,336,144/177,496
  6. Step 6: Final answer
    x = 852,584.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.