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Finding the Third Proportional to 94,436 and 203,444

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Solution

The third proportional to 94,436 and 203,444 is: 438,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,436 : 203,444 = 203,444 : x
  2. Step 2: Convert to fraction form
    94,436/203,444 = 203,444/x
  3. Step 3: Cross multiply
    94,436x = 203,444 × 203,444
  4. Step 4: Simplify right side
    94,436x = 41,389,461,136
  5. Step 5: Solve for x
    x = 41,389,461,136/94,436
  6. Step 6: Final answer
    x = 438,280.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.