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Finding the Third Proportional to 192,006 and 296,029

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Solution

The third proportional to 192,006 and 296,029 is: 456,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,006 : 296,029 = 296,029 : x
  2. Step 2: Convert to fraction form
    192,006/296,029 = 296,029/x
  3. Step 3: Cross multiply
    192,006x = 296,029 × 296,029
  4. Step 4: Simplify right side
    192,006x = 87,633,168,841
  5. Step 5: Solve for x
    x = 87,633,168,841/192,006
  6. Step 6: Final answer
    x = 456,408.49

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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.