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Finding the Third Proportional to 275,164 and 366,921

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Solution

The third proportional to 275,164 and 366,921 is: 489,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,164 : 366,921 = 366,921 : x
  2. Step 2: Convert to fraction form
    275,164/366,921 = 366,921/x
  3. Step 3: Cross multiply
    275,164x = 366,921 × 366,921
  4. Step 4: Simplify right side
    275,164x = 134,631,020,241
  5. Step 5: Solve for x
    x = 134,631,020,241/275,164
  6. Step 6: Final answer
    x = 489,275.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.