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Finding the Third Proportional to 195,456 and 425,886

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Solution

The third proportional to 195,456 and 425,886 is: 927,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,456 : 425,886 = 425,886 : x
  2. Step 2: Convert to fraction form
    195,456/425,886 = 425,886/x
  3. Step 3: Cross multiply
    195,456x = 425,886 × 425,886
  4. Step 4: Simplify right side
    195,456x = 181,378,884,996
  5. Step 5: Solve for x
    x = 181,378,884,996/195,456
  6. Step 6: Final answer
    x = 927,978.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.