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Finding the Third Proportional to 245,182 and 378,857

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Solution

The third proportional to 245,182 and 378,857 is: 585,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,182 : 378,857 = 378,857 : x
  2. Step 2: Convert to fraction form
    245,182/378,857 = 378,857/x
  3. Step 3: Cross multiply
    245,182x = 378,857 × 378,857
  4. Step 4: Simplify right side
    245,182x = 143,532,626,449
  5. Step 5: Solve for x
    x = 143,532,626,449/245,182
  6. Step 6: Final answer
    x = 585,412.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.