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Finding the Third Proportional to 182,152 and 276,918

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Solution

The third proportional to 182,152 and 276,918 is: 420,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,152 : 276,918 = 276,918 : x
  2. Step 2: Convert to fraction form
    182,152/276,918 = 276,918/x
  3. Step 3: Cross multiply
    182,152x = 276,918 × 276,918
  4. Step 4: Simplify right side
    182,152x = 76,683,578,724
  5. Step 5: Solve for x
    x = 76,683,578,724/182,152
  6. Step 6: Final answer
    x = 420,986.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.