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Finding the Third Proportional to 176,969 and 388,930

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Solution

The third proportional to 176,969 and 388,930 is: 854,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,969 : 388,930 = 388,930 : x
  2. Step 2: Convert to fraction form
    176,969/388,930 = 388,930/x
  3. Step 3: Cross multiply
    176,969x = 388,930 × 388,930
  4. Step 4: Simplify right side
    176,969x = 151,266,544,900
  5. Step 5: Solve for x
    x = 151,266,544,900/176,969
  6. Step 6: Final answer
    x = 854,762.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.