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Finding the Third Proportional to 173,443 and 378,318

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Solution

The third proportional to 173,443 and 378,318 is: 825,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,443 : 378,318 = 378,318 : x
  2. Step 2: Convert to fraction form
    173,443/378,318 = 378,318/x
  3. Step 3: Cross multiply
    173,443x = 378,318 × 378,318
  4. Step 4: Simplify right side
    173,443x = 143,124,509,124
  5. Step 5: Solve for x
    x = 143,124,509,124/173,443
  6. Step 6: Final answer
    x = 825,196.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.