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Finding the Third Proportional to 252,830.25 and 543,181.22

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Solution

The third proportional to 252,830.25 and 543,181.22 is: 1,166,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,830.25 : 543,181.22 = 543,181.22 : x
  2. Step 2: Convert to fraction form
    252,830.25/543,181.22 = 543,181.22/x
  3. Step 3: Cross multiply
    252,830.25x = 543,181.22 × 543,181.22
  4. Step 4: Simplify right side
    252,830.25x = 295,045,836,402.74
  5. Step 5: Solve for x
    x = 295,045,836,402.74/252,830.25
  6. Step 6: Final answer
    x = 1,166,972.05

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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.