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Finding the Third Proportional to 209,731 and 325,350

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Solution

The third proportional to 209,731 and 325,350 is: 504,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,731 : 325,350 = 325,350 : x
  2. Step 2: Convert to fraction form
    209,731/325,350 = 325,350/x
  3. Step 3: Cross multiply
    209,731x = 325,350 × 325,350
  4. Step 4: Simplify right side
    209,731x = 105,852,622,500
  5. Step 5: Solve for x
    x = 105,852,622,500/209,731
  6. Step 6: Final answer
    x = 504,706.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.