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Finding the Third Proportional to 195,383 and 425,757

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Solution

The third proportional to 195,383 and 425,757 is: 927,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,383 : 425,757 = 425,757 : x
  2. Step 2: Convert to fraction form
    195,383/425,757 = 425,757/x
  3. Step 3: Cross multiply
    195,383x = 425,757 × 425,757
  4. Step 4: Simplify right side
    195,383x = 181,269,023,049
  5. Step 5: Solve for x
    x = 181,269,023,049/195,383
  6. Step 6: Final answer
    x = 927,762.51

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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.