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Finding the Third Proportional to 118,958 and 261,573

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Solution

The third proportional to 118,958 and 261,573 is: 575,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,958 : 261,573 = 261,573 : x
  2. Step 2: Convert to fraction form
    118,958/261,573 = 261,573/x
  3. Step 3: Cross multiply
    118,958x = 261,573 × 261,573
  4. Step 4: Simplify right side
    118,958x = 68,420,434,329
  5. Step 5: Solve for x
    x = 68,420,434,329/118,958
  6. Step 6: Final answer
    x = 575,164.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.