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Finding the Third Proportional to 193,888 and 289,662

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Solution

The third proportional to 193,888 and 289,662 is: 432,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,888 : 289,662 = 289,662 : x
  2. Step 2: Convert to fraction form
    193,888/289,662 = 289,662/x
  3. Step 3: Cross multiply
    193,888x = 289,662 × 289,662
  4. Step 4: Simplify right side
    193,888x = 83,904,074,244
  5. Step 5: Solve for x
    x = 83,904,074,244/193,888
  6. Step 6: Final answer
    x = 432,745.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.