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Finding the Third Proportional to 174,634 and 266,962

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Solution

The third proportional to 174,634 and 266,962 is: 408,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,634 : 266,962 = 266,962 : x
  2. Step 2: Convert to fraction form
    174,634/266,962 = 266,962/x
  3. Step 3: Cross multiply
    174,634x = 266,962 × 266,962
  4. Step 4: Simplify right side
    174,634x = 71,268,709,444
  5. Step 5: Solve for x
    x = 71,268,709,444/174,634
  6. Step 6: Final answer
    x = 408,103.29

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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.