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Finding the Third Proportional to 115,198.31 and 252,539.44

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Solution

The third proportional to 115,198.31 and 252,539.44 is: 553,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198.31 : 252,539.44 = 252,539.44 : x
  2. Step 2: Convert to fraction form
    115,198.31/252,539.44 = 252,539.44/x
  3. Step 3: Cross multiply
    115,198.31x = 252,539.44 × 252,539.44
  4. Step 4: Simplify right side
    115,198.31x = 63,776,167,492.82
  5. Step 5: Solve for x
    x = 63,776,167,492.82/115,198.31
  6. Step 6: Final answer
    x = 553,620.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.