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Finding the Third Proportional to 201,118 and 433,110

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Solution

The third proportional to 201,118 and 433,110 is: 932,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,118 : 433,110 = 433,110 : x
  2. Step 2: Convert to fraction form
    201,118/433,110 = 433,110/x
  3. Step 3: Cross multiply
    201,118x = 433,110 × 433,110
  4. Step 4: Simplify right side
    201,118x = 187,584,272,100
  5. Step 5: Solve for x
    x = 187,584,272,100/201,118
  6. Step 6: Final answer
    x = 932,707.53

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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.