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Finding the Third Proportional to 136,347.25 and 318,450.75

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Solution

The third proportional to 136,347.25 and 318,450.75 is: 743,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,347.25 : 318,450.75 = 318,450.75 : x
  2. Step 2: Convert to fraction form
    136,347.25/318,450.75 = 318,450.75/x
  3. Step 3: Cross multiply
    136,347.25x = 318,450.75 × 318,450.75
  4. Step 4: Simplify right side
    136,347.25x = 101,410,880,175.56
  5. Step 5: Solve for x
    x = 101,410,880,175.56/136,347.25
  6. Step 6: Final answer
    x = 743,769.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.