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Finding the Third Proportional to 192,175.50 and 409,299

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Solution

The third proportional to 192,175.50 and 409,299 is: 871,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,175.50 : 409,299 = 409,299 : x
  2. Step 2: Convert to fraction form
    192,175.50/409,299 = 409,299/x
  3. Step 3: Cross multiply
    192,175.50x = 409,299 × 409,299
  4. Step 4: Simplify right side
    192,175.50x = 167,525,671,401
  5. Step 5: Solve for x
    x = 167,525,671,401/192,175.50
  6. Step 6: Final answer
    x = 871,732.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.