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Finding the Third Proportional to 204,055.50 and 443,058

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Solution

The third proportional to 204,055.50 and 443,058 is: 961,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,055.50 : 443,058 = 443,058 : x
  2. Step 2: Convert to fraction form
    204,055.50/443,058 = 443,058/x
  3. Step 3: Cross multiply
    204,055.50x = 443,058 × 443,058
  4. Step 4: Simplify right side
    204,055.50x = 196,300,391,364
  5. Step 5: Solve for x
    x = 196,300,391,364/204,055.50
  6. Step 6: Final answer
    x = 961,995.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.