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Finding the Third Proportional to 173,172 and 378,102

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Solution

The third proportional to 173,172 and 378,102 is: 825,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,172 : 378,102 = 378,102 : x
  2. Step 2: Convert to fraction form
    173,172/378,102 = 378,102/x
  3. Step 3: Cross multiply
    173,172x = 378,102 × 378,102
  4. Step 4: Simplify right side
    173,172x = 142,961,122,404
  5. Step 5: Solve for x
    x = 142,961,122,404/173,172
  6. Step 6: Final answer
    x = 825,544.10

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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.