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Finding the Third Proportional to 135,033.75 and 294,367.50

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Solution

The third proportional to 135,033.75 and 294,367.50 is: 641,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,033.75 : 294,367.50 = 294,367.50 : x
  2. Step 2: Convert to fraction form
    135,033.75/294,367.50 = 294,367.50/x
  3. Step 3: Cross multiply
    135,033.75x = 294,367.50 × 294,367.50
  4. Step 4: Simplify right side
    135,033.75x = 86,652,225,056.25
  5. Step 5: Solve for x
    x = 86,652,225,056.25/135,033.75
  6. Step 6: Final answer
    x = 641,707.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.