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Finding the Third Proportional to 174,066 and 262,485

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Solution

The third proportional to 174,066 and 262,485 is: 395,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,066 : 262,485 = 262,485 : x
  2. Step 2: Convert to fraction form
    174,066/262,485 = 262,485/x
  3. Step 3: Cross multiply
    174,066x = 262,485 × 262,485
  4. Step 4: Simplify right side
    174,066x = 68,898,375,225
  5. Step 5: Solve for x
    x = 68,898,375,225/174,066
  6. Step 6: Final answer
    x = 395,817.54

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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.