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Finding the Third Proportional to 200,612 and 311,630.50

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Solution

The third proportional to 200,612 and 311,630.50 is: 484,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,612 : 311,630.50 = 311,630.50 : x
  2. Step 2: Convert to fraction form
    200,612/311,630.50 = 311,630.50/x
  3. Step 3: Cross multiply
    200,612x = 311,630.50 × 311,630.50
  4. Step 4: Simplify right side
    200,612x = 97,113,568,530.25
  5. Step 5: Solve for x
    x = 97,113,568,530.25/200,612
  6. Step 6: Final answer
    x = 484,086.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.