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Finding the Third Proportional to 183,022 and 389,371

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Solution

The third proportional to 183,022 and 389,371 is: 828,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,022 : 389,371 = 389,371 : x
  2. Step 2: Convert to fraction form
    183,022/389,371 = 389,371/x
  3. Step 3: Cross multiply
    183,022x = 389,371 × 389,371
  4. Step 4: Simplify right side
    183,022x = 151,609,775,641
  5. Step 5: Solve for x
    x = 151,609,775,641/183,022
  6. Step 6: Final answer
    x = 828,369.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.