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Finding the Third Proportional to 252,822.94 and 543,165.75

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Solution

The third proportional to 252,822.94 and 543,165.75 is: 1,166,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,822.94 : 543,165.75 = 543,165.75 : x
  2. Step 2: Convert to fraction form
    252,822.94/543,165.75 = 543,165.75/x
  3. Step 3: Cross multiply
    252,822.94x = 543,165.75 × 543,165.75
  4. Step 4: Simplify right side
    252,822.94x = 295,029,031,973.06
  5. Step 5: Solve for x
    x = 295,029,031,973.06/252,822.94
  6. Step 6: Final answer
    x = 1,166,939.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.