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Finding the Third Proportional to 174,978.75 and 262,403.25

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Solution

The third proportional to 174,978.75 and 262,403.25 is: 393,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,978.75 : 262,403.25 = 262,403.25 : x
  2. Step 2: Convert to fraction form
    174,978.75/262,403.25 = 262,403.25/x
  3. Step 3: Cross multiply
    174,978.75x = 262,403.25 × 262,403.25
  4. Step 4: Simplify right side
    174,978.75x = 68,855,465,610.56
  5. Step 5: Solve for x
    x = 68,855,465,610.56/174,978.75
  6. Step 6: Final answer
    x = 393,507.59

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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.