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Finding the Third Proportional to 200,614 and 311,634

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Solution

The third proportional to 200,614 and 311,634 is: 484,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,614 : 311,634 = 311,634 : x
  2. Step 2: Convert to fraction form
    200,614/311,634 = 311,634/x
  3. Step 3: Cross multiply
    200,614x = 311,634 × 311,634
  4. Step 4: Simplify right side
    200,614x = 97,115,749,956
  5. Step 5: Solve for x
    x = 97,115,749,956/200,614
  6. Step 6: Final answer
    x = 484,092.59

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Why These Related Problems?

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