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Finding the Third Proportional to 85,314 and 199,305

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Solution

The third proportional to 85,314 and 199,305 is: 465,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314 : 199,305 = 199,305 : x
  2. Step 2: Convert to fraction form
    85,314/199,305 = 199,305/x
  3. Step 3: Cross multiply
    85,314x = 199,305 × 199,305
  4. Step 4: Simplify right side
    85,314x = 39,722,483,025
  5. Step 5: Solve for x
    x = 39,722,483,025/85,314
  6. Step 6: Final answer
    x = 465,603.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.