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Finding the Third Proportional to 182,198 and 260,080

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Solution

The third proportional to 182,198 and 260,080 is: 371,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,198 : 260,080 = 260,080 : x
  2. Step 2: Convert to fraction form
    182,198/260,080 = 260,080/x
  3. Step 3: Cross multiply
    182,198x = 260,080 × 260,080
  4. Step 4: Simplify right side
    182,198x = 67,641,606,400
  5. Step 5: Solve for x
    x = 67,641,606,400/182,198
  6. Step 6: Final answer
    x = 371,253.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.