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Finding the Third Proportional to 193,658 and 266,679

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Solution

The third proportional to 193,658 and 266,679 is: 367,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658 : 266,679 = 266,679 : x
  2. Step 2: Convert to fraction form
    193,658/266,679 = 266,679/x
  3. Step 3: Cross multiply
    193,658x = 266,679 × 266,679
  4. Step 4: Simplify right side
    193,658x = 71,117,689,041
  5. Step 5: Solve for x
    x = 71,117,689,041/193,658
  6. Step 6: Final answer
    x = 367,233.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.