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Finding the Third Proportional to 201,131 and 320,150

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Solution

The third proportional to 201,131 and 320,150 is: 509,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,131 : 320,150 = 320,150 : x
  2. Step 2: Convert to fraction form
    201,131/320,150 = 320,150/x
  3. Step 3: Cross multiply
    201,131x = 320,150 × 320,150
  4. Step 4: Simplify right side
    201,131x = 102,496,022,500
  5. Step 5: Solve for x
    x = 102,496,022,500/201,131
  6. Step 6: Final answer
    x = 509,598.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.