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Finding the Third Proportional to 176,971 and 388,934

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Solution

The third proportional to 176,971 and 388,934 is: 854,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971 : 388,934 = 388,934 : x
  2. Step 2: Convert to fraction form
    176,971/388,934 = 388,934/x
  3. Step 3: Cross multiply
    176,971x = 388,934 × 388,934
  4. Step 4: Simplify right side
    176,971x = 151,269,656,356
  5. Step 5: Solve for x
    x = 151,269,656,356/176,971
  6. Step 6: Final answer
    x = 854,770.87

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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.