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Finding the Third Proportional to 174,948 and 278,512

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Solution

The third proportional to 174,948 and 278,512 is: 443,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,948 : 278,512 = 278,512 : x
  2. Step 2: Convert to fraction form
    174,948/278,512 = 278,512/x
  3. Step 3: Cross multiply
    174,948x = 278,512 × 278,512
  4. Step 4: Simplify right side
    174,948x = 77,568,934,144
  5. Step 5: Solve for x
    x = 77,568,934,144/174,948
  6. Step 6: Final answer
    x = 443,382.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.