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Finding the Third Proportional to 180,916 and 366,944

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Solution

The third proportional to 180,916 and 366,944 is: 744,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,916 : 366,944 = 366,944 : x
  2. Step 2: Convert to fraction form
    180,916/366,944 = 366,944/x
  3. Step 3: Cross multiply
    180,916x = 366,944 × 366,944
  4. Step 4: Simplify right side
    180,916x = 134,647,899,136
  5. Step 5: Solve for x
    x = 134,647,899,136/180,916
  6. Step 6: Final answer
    x = 744,256.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.