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Finding the Third Proportional to 200,614.50 and 311,635

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Solution

The third proportional to 200,614.50 and 311,635 is: 484,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,614.50 : 311,635 = 311,635 : x
  2. Step 2: Convert to fraction form
    200,614.50/311,635 = 311,635/x
  3. Step 3: Cross multiply
    200,614.50x = 311,635 × 311,635
  4. Step 4: Simplify right side
    200,614.50x = 97,116,373,225
  5. Step 5: Solve for x
    x = 97,116,373,225/200,614.50
  6. Step 6: Final answer
    x = 484,094.49

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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.