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Finding the Third Proportional to 118,494 and 259,950

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Solution

The third proportional to 118,494 and 259,950 is: 570,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,494 : 259,950 = 259,950 : x
  2. Step 2: Convert to fraction form
    118,494/259,950 = 259,950/x
  3. Step 3: Cross multiply
    118,494x = 259,950 × 259,950
  4. Step 4: Simplify right side
    118,494x = 67,574,002,500
  5. Step 5: Solve for x
    x = 67,574,002,500/118,494
  6. Step 6: Final answer
    x = 570,273.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.