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Finding the Third Proportional to 194,745 and 425,538

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Solution

The third proportional to 194,745 and 425,538 is: 929,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,745 : 425,538 = 425,538 : x
  2. Step 2: Convert to fraction form
    194,745/425,538 = 425,538/x
  3. Step 3: Cross multiply
    194,745x = 425,538 × 425,538
  4. Step 4: Simplify right side
    194,745x = 181,082,589,444
  5. Step 5: Solve for x
    x = 181,082,589,444/194,745
  6. Step 6: Final answer
    x = 929,844.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.