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Finding the Third Proportional to 171,858 and 377,568.75

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Solution

The third proportional to 171,858 and 377,568.75 is: 829,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,858 : 377,568.75 = 377,568.75 : x
  2. Step 2: Convert to fraction form
    171,858/377,568.75 = 377,568.75/x
  3. Step 3: Cross multiply
    171,858x = 377,568.75 × 377,568.75
  4. Step 4: Simplify right side
    171,858x = 142,558,160,976.56
  5. Step 5: Solve for x
    x = 142,558,160,976.56/171,858
  6. Step 6: Final answer
    x = 829,511.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.