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Finding the Third Proportional to 173,244 and 376,080

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Solution

The third proportional to 173,244 and 376,080 is: 816,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,244 : 376,080 = 376,080 : x
  2. Step 2: Convert to fraction form
    173,244/376,080 = 376,080/x
  3. Step 3: Cross multiply
    173,244x = 376,080 × 376,080
  4. Step 4: Simplify right side
    173,244x = 141,436,166,400
  5. Step 5: Solve for x
    x = 141,436,166,400/173,244
  6. Step 6: Final answer
    x = 816,398.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.