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Finding the Third Proportional to 201,596.63 and 303,954.75

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Solution

The third proportional to 201,596.63 and 303,954.75 is: 458,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,596.63 : 303,954.75 = 303,954.75 : x
  2. Step 2: Convert to fraction form
    201,596.63/303,954.75 = 303,954.75/x
  3. Step 3: Cross multiply
    201,596.63x = 303,954.75 × 303,954.75
  4. Step 4: Simplify right side
    201,596.63x = 92,388,490,047.56
  5. Step 5: Solve for x
    x = 92,388,490,047.56/201,596.63
  6. Step 6: Final answer
    x = 458,283.91

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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.