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Finding the Third Proportional to 201,086 and 433,062

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Solution

The third proportional to 201,086 and 433,062 is: 932,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,086 : 433,062 = 433,062 : x
  2. Step 2: Convert to fraction form
    201,086/433,062 = 433,062/x
  3. Step 3: Cross multiply
    201,086x = 433,062 × 433,062
  4. Step 4: Simplify right side
    201,086x = 187,542,695,844
  5. Step 5: Solve for x
    x = 187,542,695,844/201,086
  6. Step 6: Final answer
    x = 932,649.19

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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.