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Finding the Third Proportional to 102,196 and 223,400

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Solution

The third proportional to 102,196 and 223,400 is: 488,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196 : 223,400 = 223,400 : x
  2. Step 2: Convert to fraction form
    102,196/223,400 = 223,400/x
  3. Step 3: Cross multiply
    102,196x = 223,400 × 223,400
  4. Step 4: Simplify right side
    102,196x = 49,907,560,000
  5. Step 5: Solve for x
    x = 49,907,560,000/102,196
  6. Step 6: Final answer
    x = 488,351.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.