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Finding the Third Proportional to 201,126 and 433,126

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Solution

The third proportional to 201,126 and 433,126 is: 932,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126 : 433,126 = 433,126 : x
  2. Step 2: Convert to fraction form
    201,126/433,126 = 433,126/x
  3. Step 3: Cross multiply
    201,126x = 433,126 × 433,126
  4. Step 4: Simplify right side
    201,126x = 187,598,131,876
  5. Step 5: Solve for x
    x = 187,598,131,876/201,126
  6. Step 6: Final answer
    x = 932,739.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.