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Finding the Third Proportional to 171,440 and 376,092

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Solution

The third proportional to 171,440 and 376,092 is: 825,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,440 : 376,092 = 376,092 : x
  2. Step 2: Convert to fraction form
    171,440/376,092 = 376,092/x
  3. Step 3: Cross multiply
    171,440x = 376,092 × 376,092
  4. Step 4: Simplify right side
    171,440x = 141,445,192,464
  5. Step 5: Solve for x
    x = 141,445,192,464/171,440
  6. Step 6: Final answer
    x = 825,041.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.