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Finding the Third Proportional to 200,193 and 435,324

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Solution

The third proportional to 200,193 and 435,324 is: 946,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,193 : 435,324 = 435,324 : x
  2. Step 2: Convert to fraction form
    200,193/435,324 = 435,324/x
  3. Step 3: Cross multiply
    200,193x = 435,324 × 435,324
  4. Step 4: Simplify right side
    200,193x = 189,506,984,976
  5. Step 5: Solve for x
    x = 189,506,984,976/200,193
  6. Step 6: Final answer
    x = 946,621.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.