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Finding the Third Proportional to 181,602 and 388,125

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Solution

The third proportional to 181,602 and 388,125 is: 829,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,602 : 388,125 = 388,125 : x
  2. Step 2: Convert to fraction form
    181,602/388,125 = 388,125/x
  3. Step 3: Cross multiply
    181,602x = 388,125 × 388,125
  4. Step 4: Simplify right side
    181,602x = 150,641,015,625
  5. Step 5: Solve for x
    x = 150,641,015,625/181,602
  6. Step 6: Final answer
    x = 829,511.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.