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Finding the Third Proportional to 195,082 and 419,262

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Solution

The third proportional to 195,082 and 419,262 is: 901,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,082 : 419,262 = 419,262 : x
  2. Step 2: Convert to fraction form
    195,082/419,262 = 419,262/x
  3. Step 3: Cross multiply
    195,082x = 419,262 × 419,262
  4. Step 4: Simplify right side
    195,082x = 175,780,624,644
  5. Step 5: Solve for x
    x = 175,780,624,644/195,082
  6. Step 6: Final answer
    x = 901,060.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.