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Finding the Third Proportional to 183,019.50 and 389,367

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Solution

The third proportional to 183,019.50 and 389,367 is: 828,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,019.50 : 389,367 = 389,367 : x
  2. Step 2: Convert to fraction form
    183,019.50/389,367 = 389,367/x
  3. Step 3: Cross multiply
    183,019.50x = 389,367 × 389,367
  4. Step 4: Simplify right side
    183,019.50x = 151,606,660,689
  5. Step 5: Solve for x
    x = 151,606,660,689/183,019.50
  6. Step 6: Final answer
    x = 828,363.43

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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.