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Finding the Third Proportional to 155,427 and 338,958

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Solution

The third proportional to 155,427 and 338,958 is: 739,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,427 : 338,958 = 338,958 : x
  2. Step 2: Convert to fraction form
    155,427/338,958 = 338,958/x
  3. Step 3: Cross multiply
    155,427x = 338,958 × 338,958
  4. Step 4: Simplify right side
    155,427x = 114,892,525,764
  5. Step 5: Solve for x
    x = 114,892,525,764/155,427
  6. Step 6: Final answer
    x = 739,205.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.