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Finding the Third Proportional to 197,802 and 425,096

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Solution

The third proportional to 197,802 and 425,096 is: 913,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,802 : 425,096 = 425,096 : x
  2. Step 2: Convert to fraction form
    197,802/425,096 = 425,096/x
  3. Step 3: Cross multiply
    197,802x = 425,096 × 425,096
  4. Step 4: Simplify right side
    197,802x = 180,706,609,216
  5. Step 5: Solve for x
    x = 180,706,609,216/197,802
  6. Step 6: Final answer
    x = 913,573.22

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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.