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Finding the Third Proportional to 174,096 and 363,328

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Solution

The third proportional to 174,096 and 363,328 is: 758,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,096 : 363,328 = 363,328 : x
  2. Step 2: Convert to fraction form
    174,096/363,328 = 363,328/x
  3. Step 3: Cross multiply
    174,096x = 363,328 × 363,328
  4. Step 4: Simplify right side
    174,096x = 132,007,235,584
  5. Step 5: Solve for x
    x = 132,007,235,584/174,096
  6. Step 6: Final answer
    x = 758,243.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.