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Finding the Third Proportional to 159,880 and 341,914

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Solution

The third proportional to 159,880 and 341,914 is: 731,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,880 : 341,914 = 341,914 : x
  2. Step 2: Convert to fraction form
    159,880/341,914 = 341,914/x
  3. Step 3: Cross multiply
    159,880x = 341,914 × 341,914
  4. Step 4: Simplify right side
    159,880x = 116,905,183,396
  5. Step 5: Solve for x
    x = 116,905,183,396/159,880
  6. Step 6: Final answer
    x = 731,205.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.