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Finding the Third Proportional to 200,735 and 311,189

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Solution

The third proportional to 200,735 and 311,189 is: 482,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735 : 311,189 = 311,189 : x
  2. Step 2: Convert to fraction form
    200,735/311,189 = 311,189/x
  3. Step 3: Cross multiply
    200,735x = 311,189 × 311,189
  4. Step 4: Simplify right side
    200,735x = 96,838,593,721
  5. Step 5: Solve for x
    x = 96,838,593,721/200,735
  6. Step 6: Final answer
    x = 482,420.07

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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.