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Finding the Third Proportional to 183,556 and 389,168

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Solution

The third proportional to 183,556 and 389,168 is: 825,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556 : 389,168 = 389,168 : x
  2. Step 2: Convert to fraction form
    183,556/389,168 = 389,168/x
  3. Step 3: Cross multiply
    183,556x = 389,168 × 389,168
  4. Step 4: Simplify right side
    183,556x = 151,451,732,224
  5. Step 5: Solve for x
    x = 151,451,732,224/183,556
  6. Step 6: Final answer
    x = 825,098.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.