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Finding the Third Proportional to 174,804 and 262,110

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Solution

The third proportional to 174,804 and 262,110 is: 393,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,804 : 262,110 = 262,110 : x
  2. Step 2: Convert to fraction form
    174,804/262,110 = 262,110/x
  3. Step 3: Cross multiply
    174,804x = 262,110 × 262,110
  4. Step 4: Simplify right side
    174,804x = 68,701,652,100
  5. Step 5: Solve for x
    x = 68,701,652,100/174,804
  6. Step 6: Final answer
    x = 393,021.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.