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Finding the Third Proportional to 175,296 and 378,180

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Solution

The third proportional to 175,296 and 378,180 is: 815,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,296 : 378,180 = 378,180 : x
  2. Step 2: Convert to fraction form
    175,296/378,180 = 378,180/x
  3. Step 3: Cross multiply
    175,296x = 378,180 × 378,180
  4. Step 4: Simplify right side
    175,296x = 143,020,112,400
  5. Step 5: Solve for x
    x = 143,020,112,400/175,296
  6. Step 6: Final answer
    x = 815,877.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.