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Finding the Third Proportional to 98,247 and 200,622

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Solution

The third proportional to 98,247 and 200,622 is: 409,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247 : 200,622 = 200,622 : x
  2. Step 2: Convert to fraction form
    98,247/200,622 = 200,622/x
  3. Step 3: Cross multiply
    98,247x = 200,622 × 200,622
  4. Step 4: Simplify right side
    98,247x = 40,249,186,884
  5. Step 5: Solve for x
    x = 40,249,186,884/98,247
  6. Step 6: Final answer
    x = 409,673.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.