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Finding the Third Proportional to 201,067 and 433,024

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Solution

The third proportional to 201,067 and 433,024 is: 932,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,067 : 433,024 = 433,024 : x
  2. Step 2: Convert to fraction form
    201,067/433,024 = 433,024/x
  3. Step 3: Cross multiply
    201,067x = 433,024 × 433,024
  4. Step 4: Simplify right side
    201,067x = 187,509,784,576
  5. Step 5: Solve for x
    x = 187,509,784,576/201,067
  6. Step 6: Final answer
    x = 932,573.64

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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.