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Finding the Third Proportional to 172,056 and 378,378

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Solution

The third proportional to 172,056 and 378,378 is: 832,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,056 : 378,378 = 378,378 : x
  2. Step 2: Convert to fraction form
    172,056/378,378 = 378,378/x
  3. Step 3: Cross multiply
    172,056x = 378,378 × 378,378
  4. Step 4: Simplify right side
    172,056x = 143,169,910,884
  5. Step 5: Solve for x
    x = 143,169,910,884/172,056
  6. Step 6: Final answer
    x = 832,112.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.