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Finding the Third Proportional to 179,032 and 250,970

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Solution

The third proportional to 179,032 and 250,970 is: 351,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,032 : 250,970 = 250,970 : x
  2. Step 2: Convert to fraction form
    179,032/250,970 = 250,970/x
  3. Step 3: Cross multiply
    179,032x = 250,970 × 250,970
  4. Step 4: Simplify right side
    179,032x = 62,985,940,900
  5. Step 5: Solve for x
    x = 62,985,940,900/179,032
  6. Step 6: Final answer
    x = 351,813.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.