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Finding the Third Proportional to 195,852 and 403,296

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Solution

The third proportional to 195,852 and 403,296 is: 830,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,852 : 403,296 = 403,296 : x
  2. Step 2: Convert to fraction form
    195,852/403,296 = 403,296/x
  3. Step 3: Cross multiply
    195,852x = 403,296 × 403,296
  4. Step 4: Simplify right side
    195,852x = 162,647,663,616
  5. Step 5: Solve for x
    x = 162,647,663,616/195,852
  6. Step 6: Final answer
    x = 830,462.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.