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Finding the Third Proportional to 173,359 and 372,961

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Solution

The third proportional to 173,359 and 372,961 is: 802,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,359 : 372,961 = 372,961 : x
  2. Step 2: Convert to fraction form
    173,359/372,961 = 372,961/x
  3. Step 3: Cross multiply
    173,359x = 372,961 × 372,961
  4. Step 4: Simplify right side
    173,359x = 139,099,907,521
  5. Step 5: Solve for x
    x = 139,099,907,521/173,359
  6. Step 6: Final answer
    x = 802,380.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.