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Finding the Third Proportional to 177,352.49 and 389,195.79

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Solution

The third proportional to 177,352.49 and 389,195.79 is: 854,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,352.49 : 389,195.79 = 389,195.79 : x
  2. Step 2: Convert to fraction form
    177,352.49/389,195.79 = 389,195.79/x
  3. Step 3: Cross multiply
    177,352.49x = 389,195.79 × 389,195.79
  4. Step 4: Simplify right side
    177,352.49x = 151,473,362,223.98
  5. Step 5: Solve for x
    x = 151,473,362,223.98/177,352.49
  6. Step 6: Final answer
    x = 854,080.84

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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.