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Finding the Third Proportional to 133,852 and 215,250

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Solution

The third proportional to 133,852 and 215,250 is: 346,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852 : 215,250 = 215,250 : x
  2. Step 2: Convert to fraction form
    133,852/215,250 = 215,250/x
  3. Step 3: Cross multiply
    133,852x = 215,250 × 215,250
  4. Step 4: Simplify right side
    133,852x = 46,332,562,500
  5. Step 5: Solve for x
    x = 46,332,562,500/133,852
  6. Step 6: Final answer
    x = 346,147.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.