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Finding the Third Proportional to 94,708 and 204,175

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Solution

The third proportional to 94,708 and 204,175 is: 440,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,708 : 204,175 = 204,175 : x
  2. Step 2: Convert to fraction form
    94,708/204,175 = 204,175/x
  3. Step 3: Cross multiply
    94,708x = 204,175 × 204,175
  4. Step 4: Simplify right side
    94,708x = 41,687,430,625
  5. Step 5: Solve for x
    x = 41,687,430,625/94,708
  6. Step 6: Final answer
    x = 440,168.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.