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Finding the Third Proportional to 201,158 and 303,786.50

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Solution

The third proportional to 201,158 and 303,786.50 is: 458,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,158 : 303,786.50 = 303,786.50 : x
  2. Step 2: Convert to fraction form
    201,158/303,786.50 = 303,786.50/x
  3. Step 3: Cross multiply
    201,158x = 303,786.50 × 303,786.50
  4. Step 4: Simplify right side
    201,158x = 92,286,237,582.25
  5. Step 5: Solve for x
    x = 92,286,237,582.25/201,158
  6. Step 6: Final answer
    x = 458,774.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.