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Finding the Third Proportional to 199,056 and 416,548

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Solution

The third proportional to 199,056 and 416,548 is: 871,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,056 : 416,548 = 416,548 : x
  2. Step 2: Convert to fraction form
    199,056/416,548 = 416,548/x
  3. Step 3: Cross multiply
    199,056x = 416,548 × 416,548
  4. Step 4: Simplify right side
    199,056x = 173,512,236,304
  5. Step 5: Solve for x
    x = 173,512,236,304/199,056
  6. Step 6: Final answer
    x = 871,675.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.