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Finding the Third Proportional to 94,296 and 203,294

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Solution

The third proportional to 94,296 and 203,294 is: 438,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,296 : 203,294 = 203,294 : x
  2. Step 2: Convert to fraction form
    94,296/203,294 = 203,294/x
  3. Step 3: Cross multiply
    94,296x = 203,294 × 203,294
  4. Step 4: Simplify right side
    94,296x = 41,328,450,436
  5. Step 5: Solve for x
    x = 41,328,450,436/94,296
  6. Step 6: Final answer
    x = 438,284.24

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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.