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Finding the Third Proportional to 193,906 and 289,693

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Solution

The third proportional to 193,906 and 289,693 is: 432,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,906 : 289,693 = 289,693 : x
  2. Step 2: Convert to fraction form
    193,906/289,693 = 289,693/x
  3. Step 3: Cross multiply
    193,906x = 289,693 × 289,693
  4. Step 4: Simplify right side
    193,906x = 83,922,034,249
  5. Step 5: Solve for x
    x = 83,922,034,249/193,906
  6. Step 6: Final answer
    x = 432,797.51

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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.