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Finding the Third Proportional to 253,055 and 378,880

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Solution

The third proportional to 253,055 and 378,880 is: 567,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,055 : 378,880 = 378,880 : x
  2. Step 2: Convert to fraction form
    253,055/378,880 = 378,880/x
  3. Step 3: Cross multiply
    253,055x = 378,880 × 378,880
  4. Step 4: Simplify right side
    253,055x = 143,550,054,400
  5. Step 5: Solve for x
    x = 143,550,054,400/253,055
  6. Step 6: Final answer
    x = 567,268.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.