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Finding the Third Proportional to 174,523 and 263,240

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Solution

The third proportional to 174,523 and 263,240 is: 397,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,523 : 263,240 = 263,240 : x
  2. Step 2: Convert to fraction form
    174,523/263,240 = 263,240/x
  3. Step 3: Cross multiply
    174,523x = 263,240 × 263,240
  4. Step 4: Simplify right side
    174,523x = 69,295,297,600
  5. Step 5: Solve for x
    x = 69,295,297,600/174,523
  6. Step 6: Final answer
    x = 397,055.39

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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.