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Finding the Third Proportional to 194,869 and 310,310

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Solution

The third proportional to 194,869 and 310,310 is: 494,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,869 : 310,310 = 310,310 : x
  2. Step 2: Convert to fraction form
    194,869/310,310 = 310,310/x
  3. Step 3: Cross multiply
    194,869x = 310,310 × 310,310
  4. Step 4: Simplify right side
    194,869x = 96,292,296,100
  5. Step 5: Solve for x
    x = 96,292,296,100/194,869
  6. Step 6: Final answer
    x = 494,138.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.