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Finding the Third Proportional to 80,546 and 189,509

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Solution

The third proportional to 80,546 and 189,509 is: 445,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,546 : 189,509 = 189,509 : x
  2. Step 2: Convert to fraction form
    80,546/189,509 = 189,509/x
  3. Step 3: Cross multiply
    80,546x = 189,509 × 189,509
  4. Step 4: Simplify right side
    80,546x = 35,913,661,081
  5. Step 5: Solve for x
    x = 35,913,661,081/80,546
  6. Step 6: Final answer
    x = 445,877.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.