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Finding the Third Proportional to 83,509.50 and 182,355

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Solution

The third proportional to 83,509.50 and 182,355 is: 398,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.50 : 182,355 = 182,355 : x
  2. Step 2: Convert to fraction form
    83,509.50/182,355 = 182,355/x
  3. Step 3: Cross multiply
    83,509.50x = 182,355 × 182,355
  4. Step 4: Simplify right side
    83,509.50x = 33,253,346,025
  5. Step 5: Solve for x
    x = 33,253,346,025/83,509.50
  6. Step 6: Final answer
    x = 398,198.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.