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Finding the Third Proportional to 195,728 and 375,903

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Solution

The third proportional to 195,728 and 375,903 is: 721,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,728 : 375,903 = 375,903 : x
  2. Step 2: Convert to fraction form
    195,728/375,903 = 375,903/x
  3. Step 3: Cross multiply
    195,728x = 375,903 × 375,903
  4. Step 4: Simplify right side
    195,728x = 141,303,065,409
  5. Step 5: Solve for x
    x = 141,303,065,409/195,728
  6. Step 6: Final answer
    x = 721,935.88

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.