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Finding the Third Proportional to 174,916 and 377,480

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Solution

The third proportional to 174,916 and 377,480 is: 814,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,916 : 377,480 = 377,480 : x
  2. Step 2: Convert to fraction form
    174,916/377,480 = 377,480/x
  3. Step 3: Cross multiply
    174,916x = 377,480 × 377,480
  4. Step 4: Simplify right side
    174,916x = 142,491,150,400
  5. Step 5: Solve for x
    x = 142,491,150,400/174,916
  6. Step 6: Final answer
    x = 814,626.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.