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Finding the Third Proportional to 94,678 and 205,556

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Solution

The third proportional to 94,678 and 205,556 is: 446,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,678 : 205,556 = 205,556 : x
  2. Step 2: Convert to fraction form
    94,678/205,556 = 205,556/x
  3. Step 3: Cross multiply
    94,678x = 205,556 × 205,556
  4. Step 4: Simplify right side
    94,678x = 42,253,269,136
  5. Step 5: Solve for x
    x = 42,253,269,136/94,678
  6. Step 6: Final answer
    x = 446,283.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.