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Finding the Third Proportional to 181,056 and 398,208

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Solution

The third proportional to 181,056 and 398,208 is: 875,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,056 : 398,208 = 398,208 : x
  2. Step 2: Convert to fraction form
    181,056/398,208 = 398,208/x
  3. Step 3: Cross multiply
    181,056x = 398,208 × 398,208
  4. Step 4: Simplify right side
    181,056x = 158,569,611,264
  5. Step 5: Solve for x
    x = 158,569,611,264/181,056
  6. Step 6: Final answer
    x = 875,804.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.