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Finding the Third Proportional to 200,264 and 311,884

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Solution

The third proportional to 200,264 and 311,884 is: 485,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,264 : 311,884 = 311,884 : x
  2. Step 2: Convert to fraction form
    200,264/311,884 = 311,884/x
  3. Step 3: Cross multiply
    200,264x = 311,884 × 311,884
  4. Step 4: Simplify right side
    200,264x = 97,271,629,456
  5. Step 5: Solve for x
    x = 97,271,629,456/200,264
  6. Step 6: Final answer
    x = 485,717.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.