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Finding the Third Proportional to 155,944 and 338,236

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Solution

The third proportional to 155,944 and 338,236 is: 733,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,944 : 338,236 = 338,236 : x
  2. Step 2: Convert to fraction form
    155,944/338,236 = 338,236/x
  3. Step 3: Cross multiply
    155,944x = 338,236 × 338,236
  4. Step 4: Simplify right side
    155,944x = 114,403,591,696
  5. Step 5: Solve for x
    x = 114,403,591,696/155,944
  6. Step 6: Final answer
    x = 733,619.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.