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Finding the Third Proportional to 117,918 and 266,181

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Solution

The third proportional to 117,918 and 266,181 is: 600,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,918 : 266,181 = 266,181 : x
  2. Step 2: Convert to fraction form
    117,918/266,181 = 266,181/x
  3. Step 3: Cross multiply
    117,918x = 266,181 × 266,181
  4. Step 4: Simplify right side
    117,918x = 70,852,324,761
  5. Step 5: Solve for x
    x = 70,852,324,761/117,918
  6. Step 6: Final answer
    x = 600,860.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.