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Finding the Third Proportional to 192,298 and 298,529

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Solution

The third proportional to 192,298 and 298,529 is: 463,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298 : 298,529 = 298,529 : x
  2. Step 2: Convert to fraction form
    192,298/298,529 = 298,529/x
  3. Step 3: Cross multiply
    192,298x = 298,529 × 298,529
  4. Step 4: Simplify right side
    192,298x = 89,119,563,841
  5. Step 5: Solve for x
    x = 89,119,563,841/192,298
  6. Step 6: Final answer
    x = 463,445.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.