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Finding the Third Proportional to 193,662 and 266,685

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Solution

The third proportional to 193,662 and 266,685 is: 367,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,662 : 266,685 = 266,685 : x
  2. Step 2: Convert to fraction form
    193,662/266,685 = 266,685/x
  3. Step 3: Cross multiply
    193,662x = 266,685 × 266,685
  4. Step 4: Simplify right side
    193,662x = 71,120,889,225
  5. Step 5: Solve for x
    x = 71,120,889,225/193,662
  6. Step 6: Final answer
    x = 367,242.36

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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.