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Finding the Third Proportional to 150,492.94 and 200,725.59

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Solution

The third proportional to 150,492.94 and 200,725.59 is: 267,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492.94 : 200,725.59 = 200,725.59 : x
  2. Step 2: Convert to fraction form
    150,492.94/200,725.59 = 200,725.59/x
  3. Step 3: Cross multiply
    150,492.94x = 200,725.59 × 200,725.59
  4. Step 4: Simplify right side
    150,492.94x = 40,290,763,986.29
  5. Step 5: Solve for x
    x = 40,290,763,986.29/150,492.94
  6. Step 6: Final answer
    x = 267,725.28

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.