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Finding the Third Proportional to 263,196 and 366,711.75

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Solution

The third proportional to 263,196 and 366,711.75 is: 510,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,196 : 366,711.75 = 366,711.75 : x
  2. Step 2: Convert to fraction form
    263,196/366,711.75 = 366,711.75/x
  3. Step 3: Cross multiply
    263,196x = 366,711.75 × 366,711.75
  4. Step 4: Simplify right side
    263,196x = 134,477,507,588.06
  5. Step 5: Solve for x
    x = 134,477,507,588.06/263,196
  6. Step 6: Final answer
    x = 510,940.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.