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Finding the Third Proportional to 211,180 and 425,816

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Solution

The third proportional to 211,180 and 425,816 is: 858,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,180 : 425,816 = 425,816 : x
  2. Step 2: Convert to fraction form
    211,180/425,816 = 425,816/x
  3. Step 3: Cross multiply
    211,180x = 425,816 × 425,816
  4. Step 4: Simplify right side
    211,180x = 181,319,265,856
  5. Step 5: Solve for x
    x = 181,319,265,856/211,180
  6. Step 6: Final answer
    x = 858,600.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.