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Finding the Third Proportional to 199,971 and 433,149

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Solution

The third proportional to 199,971 and 433,149 is: 938,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,971 : 433,149 = 433,149 : x
  2. Step 2: Convert to fraction form
    199,971/433,149 = 433,149/x
  3. Step 3: Cross multiply
    199,971x = 433,149 × 433,149
  4. Step 4: Simplify right side
    199,971x = 187,618,056,201
  5. Step 5: Solve for x
    x = 187,618,056,201/199,971
  6. Step 6: Final answer
    x = 938,226.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.