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Finding the Third Proportional to 195,384 and 425,762

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Solution

The third proportional to 195,384 and 425,762 is: 927,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,384 : 425,762 = 425,762 : x
  2. Step 2: Convert to fraction form
    195,384/425,762 = 425,762/x
  3. Step 3: Cross multiply
    195,384x = 425,762 × 425,762
  4. Step 4: Simplify right side
    195,384x = 181,273,280,644
  5. Step 5: Solve for x
    x = 181,273,280,644/195,384
  6. Step 6: Final answer
    x = 927,779.56

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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.