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Finding the Third Proportional to 251,826.75 and 543,534.75

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Solution

The third proportional to 251,826.75 and 543,534.75 is: 1,173,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,826.75 : 543,534.75 = 543,534.75 : x
  2. Step 2: Convert to fraction form
    251,826.75/543,534.75 = 543,534.75/x
  3. Step 3: Cross multiply
    251,826.75x = 543,534.75 × 543,534.75
  4. Step 4: Simplify right side
    251,826.75x = 295,430,024,457.56
  5. Step 5: Solve for x
    x = 295,430,024,457.56/251,826.75
  6. Step 6: Final answer
    x = 1,173,147.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.