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Finding the Third Proportional to 252,672 and 337,104

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Solution

The third proportional to 252,672 and 337,104 is: 449,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,672 : 337,104 = 337,104 : x
  2. Step 2: Convert to fraction form
    252,672/337,104 = 337,104/x
  3. Step 3: Cross multiply
    252,672x = 337,104 × 337,104
  4. Step 4: Simplify right side
    252,672x = 113,639,106,816
  5. Step 5: Solve for x
    x = 113,639,106,816/252,672
  6. Step 6: Final answer
    x = 449,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.