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Finding the Third Proportional to 222,645.75 and 525,059.25

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Solution

The third proportional to 222,645.75 and 525,059.25 is: 1,238,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,645.75 : 525,059.25 = 525,059.25 : x
  2. Step 2: Convert to fraction form
    222,645.75/525,059.25 = 525,059.25/x
  3. Step 3: Cross multiply
    222,645.75x = 525,059.25 × 525,059.25
  4. Step 4: Simplify right side
    222,645.75x = 275,687,216,010.56
  5. Step 5: Solve for x
    x = 275,687,216,010.56/222,645.75
  6. Step 6: Final answer
    x = 1,238,232.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.