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Finding the Third Proportional to 174,563 and 266,917

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Solution

The third proportional to 174,563 and 266,917 is: 408,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,563 : 266,917 = 266,917 : x
  2. Step 2: Convert to fraction form
    174,563/266,917 = 266,917/x
  3. Step 3: Cross multiply
    174,563x = 266,917 × 266,917
  4. Step 4: Simplify right side
    174,563x = 71,244,684,889
  5. Step 5: Solve for x
    x = 71,244,684,889/174,563
  6. Step 6: Final answer
    x = 408,131.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.