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Finding the Third Proportional to 184,711.50 and 398,895

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Solution

The third proportional to 184,711.50 and 398,895 is: 861,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,711.50 : 398,895 = 398,895 : x
  2. Step 2: Convert to fraction form
    184,711.50/398,895 = 398,895/x
  3. Step 3: Cross multiply
    184,711.50x = 398,895 × 398,895
  4. Step 4: Simplify right side
    184,711.50x = 159,117,221,025
  5. Step 5: Solve for x
    x = 159,117,221,025/184,711.50
  6. Step 6: Final answer
    x = 861,436.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.