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Finding the Third Proportional to 220,425.75 and 450,191.25

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Solution

The third proportional to 220,425.75 and 450,191.25 is: 919,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,425.75 : 450,191.25 = 450,191.25 : x
  2. Step 2: Convert to fraction form
    220,425.75/450,191.25 = 450,191.25/x
  3. Step 3: Cross multiply
    220,425.75x = 450,191.25 × 450,191.25
  4. Step 4: Simplify right side
    220,425.75x = 202,672,161,576.56
  5. Step 5: Solve for x
    x = 202,672,161,576.56/220,425.75
  6. Step 6: Final answer
    x = 919,457.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.