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Finding the Third Proportional to 193,656 and 266,676

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Solution

The third proportional to 193,656 and 266,676 is: 367,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,656 : 266,676 = 266,676 : x
  2. Step 2: Convert to fraction form
    193,656/266,676 = 266,676/x
  3. Step 3: Cross multiply
    193,656x = 266,676 × 266,676
  4. Step 4: Simplify right side
    193,656x = 71,116,088,976
  5. Step 5: Solve for x
    x = 71,116,088,976/193,656
  6. Step 6: Final answer
    x = 367,228.95

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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.