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Finding the Third Proportional to 174,736 and 263,552

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Solution

The third proportional to 174,736 and 263,552 is: 397,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,736 : 263,552 = 263,552 : x
  2. Step 2: Convert to fraction form
    174,736/263,552 = 263,552/x
  3. Step 3: Cross multiply
    174,736x = 263,552 × 263,552
  4. Step 4: Simplify right side
    174,736x = 69,459,656,704
  5. Step 5: Solve for x
    x = 69,459,656,704/174,736
  6. Step 6: Final answer
    x = 397,512.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.