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Finding the Third Proportional to 193,636 and 299,112

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Solution

The third proportional to 193,636 and 299,112 is: 462,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,636 : 299,112 = 299,112 : x
  2. Step 2: Convert to fraction form
    193,636/299,112 = 299,112/x
  3. Step 3: Cross multiply
    193,636x = 299,112 × 299,112
  4. Step 4: Simplify right side
    193,636x = 89,467,988,544
  5. Step 5: Solve for x
    x = 89,467,988,544/193,636
  6. Step 6: Final answer
    x = 462,042.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.