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Finding the Third Proportional to 94,258 and 198,212

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Solution

The third proportional to 94,258 and 198,212 is: 416,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,258 : 198,212 = 198,212 : x
  2. Step 2: Convert to fraction form
    94,258/198,212 = 198,212/x
  3. Step 3: Cross multiply
    94,258x = 198,212 × 198,212
  4. Step 4: Simplify right side
    94,258x = 39,287,996,944
  5. Step 5: Solve for x
    x = 39,287,996,944/94,258
  6. Step 6: Final answer
    x = 416,813.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.