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Finding the Third Proportional to 195,862 and 408,752

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Solution

The third proportional to 195,862 and 408,752 is: 853,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,862 : 408,752 = 408,752 : x
  2. Step 2: Convert to fraction form
    195,862/408,752 = 408,752/x
  3. Step 3: Cross multiply
    195,862x = 408,752 × 408,752
  4. Step 4: Simplify right side
    195,862x = 167,078,197,504
  5. Step 5: Solve for x
    x = 167,078,197,504/195,862
  6. Step 6: Final answer
    x = 853,040.39

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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.