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Finding the Third Proportional to 210,826.97 and 326,094.19

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Solution

The third proportional to 210,826.97 and 326,094.19 is: 504,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,826.97 : 326,094.19 = 326,094.19 : x
  2. Step 2: Convert to fraction form
    210,826.97/326,094.19 = 326,094.19/x
  3. Step 3: Cross multiply
    210,826.97x = 326,094.19 × 326,094.19
  4. Step 4: Simplify right side
    210,826.97x = 106,337,419,121.29
  5. Step 5: Solve for x
    x = 106,337,419,121.29/210,826.97
  6. Step 6: Final answer
    x = 504,382.43

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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.