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Finding the Third Proportional to 192,946 and 298,167

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Solution

The third proportional to 192,946 and 298,167 is: 460,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,946 : 298,167 = 298,167 : x
  2. Step 2: Convert to fraction form
    192,946/298,167 = 298,167/x
  3. Step 3: Cross multiply
    192,946x = 298,167 × 298,167
  4. Step 4: Simplify right side
    192,946x = 88,903,559,889
  5. Step 5: Solve for x
    x = 88,903,559,889/192,946
  6. Step 6: Final answer
    x = 460,769.13

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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.