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Finding the Third Proportional to 135,829.50 and 296,901

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Solution

The third proportional to 135,829.50 and 296,901 is: 648,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,829.50 : 296,901 = 296,901 : x
  2. Step 2: Convert to fraction form
    135,829.50/296,901 = 296,901/x
  3. Step 3: Cross multiply
    135,829.50x = 296,901 × 296,901
  4. Step 4: Simplify right side
    135,829.50x = 88,150,203,801
  5. Step 5: Solve for x
    x = 88,150,203,801/135,829.50
  6. Step 6: Final answer
    x = 648,976.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.