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Finding the Third Proportional to 197,189 and 424,906

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Solution

The third proportional to 197,189 and 424,906 is: 915,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,189 : 424,906 = 424,906 : x
  2. Step 2: Convert to fraction form
    197,189/424,906 = 424,906/x
  3. Step 3: Cross multiply
    197,189x = 424,906 × 424,906
  4. Step 4: Simplify right side
    197,189x = 180,545,108,836
  5. Step 5: Solve for x
    x = 180,545,108,836/197,189
  6. Step 6: Final answer
    x = 915,594.22

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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.