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Finding the Third Proportional to 134,608 and 211,189.50

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Solution

The third proportional to 134,608 and 211,189.50 is: 331,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,608 : 211,189.50 = 211,189.50 : x
  2. Step 2: Convert to fraction form
    134,608/211,189.50 = 211,189.50/x
  3. Step 3: Cross multiply
    134,608x = 211,189.50 × 211,189.50
  4. Step 4: Simplify right side
    134,608x = 44,601,004,910.25
  5. Step 5: Solve for x
    x = 44,601,004,910.25/134,608
  6. Step 6: Final answer
    x = 331,339.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.