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Finding the Third Proportional to 199,050 and 416,536

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Solution

The third proportional to 199,050 and 416,536 is: 871,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050 : 416,536 = 416,536 : x
  2. Step 2: Convert to fraction form
    199,050/416,536 = 416,536/x
  3. Step 3: Cross multiply
    199,050x = 416,536 × 416,536
  4. Step 4: Simplify right side
    199,050x = 173,502,239,296
  5. Step 5: Solve for x
    x = 173,502,239,296/199,050
  6. Step 6: Final answer
    x = 871,651.54

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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.