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Finding the Third Proportional to 177,820.88 and 388,837.13

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Solution

The third proportional to 177,820.88 and 388,837.13 is: 850,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820.88 : 388,837.13 = 388,837.13 : x
  2. Step 2: Convert to fraction form
    177,820.88/388,837.13 = 388,837.13/x
  3. Step 3: Cross multiply
    177,820.88x = 388,837.13 × 388,837.13
  4. Step 4: Simplify right side
    177,820.88x = 151,194,309,778.27
  5. Step 5: Solve for x
    x = 151,194,309,778.27/177,820.88
  6. Step 6: Final answer
    x = 850,261.87

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