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Finding the Third Proportional to 201,758.50 and 304,150

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Solution

The third proportional to 201,758.50 and 304,150 is: 458,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,758.50 : 304,150 = 304,150 : x
  2. Step 2: Convert to fraction form
    201,758.50/304,150 = 304,150/x
  3. Step 3: Cross multiply
    201,758.50x = 304,150 × 304,150
  4. Step 4: Simplify right side
    201,758.50x = 92,507,222,500
  5. Step 5: Solve for x
    x = 92,507,222,500/201,758.50
  6. Step 6: Final answer
    x = 458,504.71

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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.