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Finding the Third Proportional to 131,844 and 209,622

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Solution

The third proportional to 131,844 and 209,622 is: 333,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,844 : 209,622 = 209,622 : x
  2. Step 2: Convert to fraction form
    131,844/209,622 = 209,622/x
  3. Step 3: Cross multiply
    131,844x = 209,622 × 209,622
  4. Step 4: Simplify right side
    131,844x = 43,941,382,884
  5. Step 5: Solve for x
    x = 43,941,382,884/131,844
  6. Step 6: Final answer
    x = 333,283.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.