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Finding the Third Proportional to 159,651 and 350,406

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Solution

The third proportional to 159,651 and 350,406 is: 769,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,651 : 350,406 = 350,406 : x
  2. Step 2: Convert to fraction form
    159,651/350,406 = 350,406/x
  3. Step 3: Cross multiply
    159,651x = 350,406 × 350,406
  4. Step 4: Simplify right side
    159,651x = 122,784,364,836
  5. Step 5: Solve for x
    x = 122,784,364,836/159,651
  6. Step 6: Final answer
    x = 769,079.84

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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.