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Finding the Third Proportional to 197,192 and 424,912

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Solution

The third proportional to 197,192 and 424,912 is: 915,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,192 : 424,912 = 424,912 : x
  2. Step 2: Convert to fraction form
    197,192/424,912 = 424,912/x
  3. Step 3: Cross multiply
    197,192x = 424,912 × 424,912
  4. Step 4: Simplify right side
    197,192x = 180,550,207,744
  5. Step 5: Solve for x
    x = 180,550,207,744/197,192
  6. Step 6: Final answer
    x = 915,606.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.