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Finding the Third Proportional to 94,775 and 204,312

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Solution

The third proportional to 94,775 and 204,312 is: 440,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,775 : 204,312 = 204,312 : x
  2. Step 2: Convert to fraction form
    94,775/204,312 = 204,312/x
  3. Step 3: Cross multiply
    94,775x = 204,312 × 204,312
  4. Step 4: Simplify right side
    94,775x = 41,743,393,344
  5. Step 5: Solve for x
    x = 41,743,393,344/94,775
  6. Step 6: Final answer
    x = 440,447.31

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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.