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Finding the Third Proportional to 201,183.75 and 411,593.63

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Solution

The third proportional to 201,183.75 and 411,593.63 is: 842,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,183.75 : 411,593.63 = 411,593.63 : x
  2. Step 2: Convert to fraction form
    201,183.75/411,593.63 = 411,593.63/x
  3. Step 3: Cross multiply
    201,183.75x = 411,593.63 × 411,593.63
  4. Step 4: Simplify right side
    201,183.75x = 169,409,312,140.64
  5. Step 5: Solve for x
    x = 169,409,312,140.64/201,183.75
  6. Step 6: Final answer
    x = 842,062.60

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.