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Finding the Third Proportional to 273,754 and 366,186

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Solution

The third proportional to 273,754 and 366,186 is: 489,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,754 : 366,186 = 366,186 : x
  2. Step 2: Convert to fraction form
    273,754/366,186 = 366,186/x
  3. Step 3: Cross multiply
    273,754x = 366,186 × 366,186
  4. Step 4: Simplify right side
    273,754x = 134,092,186,596
  5. Step 5: Solve for x
    x = 134,092,186,596/273,754
  6. Step 6: Final answer
    x = 489,827.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.