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Finding the Third Proportional to 245,200.50 and 374,928.75

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Solution

The third proportional to 245,200.50 and 374,928.75 is: 573,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,200.50 : 374,928.75 = 374,928.75 : x
  2. Step 2: Convert to fraction form
    245,200.50/374,928.75 = 374,928.75/x
  3. Step 3: Cross multiply
    245,200.50x = 374,928.75 × 374,928.75
  4. Step 4: Simplify right side
    245,200.50x = 140,571,567,576.56
  5. Step 5: Solve for x
    x = 140,571,567,576.56/245,200.50
  6. Step 6: Final answer
    x = 573,292.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.