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Finding the Third Proportional to 166,063.50 and 257,843.25

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Solution

The third proportional to 166,063.50 and 257,843.25 is: 400,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,063.50 : 257,843.25 = 257,843.25 : x
  2. Step 2: Convert to fraction form
    166,063.50/257,843.25 = 257,843.25/x
  3. Step 3: Cross multiply
    166,063.50x = 257,843.25 × 257,843.25
  4. Step 4: Simplify right side
    166,063.50x = 66,483,141,570.56
  5. Step 5: Solve for x
    x = 66,483,141,570.56/166,063.50
  6. Step 6: Final answer
    x = 400,347.71

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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.