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Finding the Third Proportional to 183,573 and 389,166

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Solution

The third proportional to 183,573 and 389,166 is: 825,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,573 : 389,166 = 389,166 : x
  2. Step 2: Convert to fraction form
    183,573/389,166 = 389,166/x
  3. Step 3: Cross multiply
    183,573x = 389,166 × 389,166
  4. Step 4: Simplify right side
    183,573x = 151,450,175,556
  5. Step 5: Solve for x
    x = 151,450,175,556/183,573
  6. Step 6: Final answer
    x = 825,013.35

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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.