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Finding the Third Proportional to 202,938.96 and 441,200.46

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Solution

The third proportional to 202,938.96 and 441,200.46 is: 959,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.96 : 441,200.46 = 441,200.46 : x
  2. Step 2: Convert to fraction form
    202,938.96/441,200.46 = 441,200.46/x
  3. Step 3: Cross multiply
    202,938.96x = 441,200.46 × 441,200.46
  4. Step 4: Simplify right side
    202,938.96x = 194,657,846,731.46
  5. Step 5: Solve for x
    x = 194,657,846,731.46/202,938.96
  6. Step 6: Final answer
    x = 959,194.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.