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Finding the Third Proportional to 171,546 and 266,661

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Solution

The third proportional to 171,546 and 266,661 is: 414,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,546 : 266,661 = 266,661 : x
  2. Step 2: Convert to fraction form
    171,546/266,661 = 266,661/x
  3. Step 3: Cross multiply
    171,546x = 266,661 × 266,661
  4. Step 4: Simplify right side
    171,546x = 71,108,088,921
  5. Step 5: Solve for x
    x = 71,108,088,921/171,546
  6. Step 6: Final answer
    x = 414,513.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.