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Finding the Third Proportional to 193,674 and 266,699

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Solution

The third proportional to 193,674 and 266,699 is: 367,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,674 : 266,699 = 266,699 : x
  2. Step 2: Convert to fraction form
    193,674/266,699 = 266,699/x
  3. Step 3: Cross multiply
    193,674x = 266,699 × 266,699
  4. Step 4: Simplify right side
    193,674x = 71,128,356,601
  5. Step 5: Solve for x
    x = 71,128,356,601/193,674
  6. Step 6: Final answer
    x = 367,258.16

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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.