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Finding the Third Proportional to 178,032 and 274,898

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Solution

The third proportional to 178,032 and 274,898 is: 424,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,032 : 274,898 = 274,898 : x
  2. Step 2: Convert to fraction form
    178,032/274,898 = 274,898/x
  3. Step 3: Cross multiply
    178,032x = 274,898 × 274,898
  4. Step 4: Simplify right side
    178,032x = 75,568,910,404
  5. Step 5: Solve for x
    x = 75,568,910,404/178,032
  6. Step 6: Final answer
    x = 424,468.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.