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Finding the Third Proportional to 173,530 and 351,889

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Solution

The third proportional to 173,530 and 351,889 is: 713,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,530 : 351,889 = 351,889 : x
  2. Step 2: Convert to fraction form
    173,530/351,889 = 351,889/x
  3. Step 3: Cross multiply
    173,530x = 351,889 × 351,889
  4. Step 4: Simplify right side
    173,530x = 123,825,868,321
  5. Step 5: Solve for x
    x = 123,825,868,321/173,530
  6. Step 6: Final answer
    x = 713,570.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.