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Finding the Third Proportional to 177,375 and 380,994

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Solution

The third proportional to 177,375 and 380,994 is: 818,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,375 : 380,994 = 380,994 : x
  2. Step 2: Convert to fraction form
    177,375/380,994 = 380,994/x
  3. Step 3: Cross multiply
    177,375x = 380,994 × 380,994
  4. Step 4: Simplify right side
    177,375x = 145,156,428,036
  5. Step 5: Solve for x
    x = 145,156,428,036/177,375
  6. Step 6: Final answer
    x = 818,359.00

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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.