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Finding the Third Proportional to 170,813 and 363,802

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Solution

The third proportional to 170,813 and 363,802 is: 774,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,813 : 363,802 = 363,802 : x
  2. Step 2: Convert to fraction form
    170,813/363,802 = 363,802/x
  3. Step 3: Cross multiply
    170,813x = 363,802 × 363,802
  4. Step 4: Simplify right side
    170,813x = 132,351,895,204
  5. Step 5: Solve for x
    x = 132,351,895,204/170,813
  6. Step 6: Final answer
    x = 774,835.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.