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Finding the Third Proportional to 76,380.19 and 167,806.13

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Solution

The third proportional to 76,380.19 and 167,806.13 is: 368,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.19 : 167,806.13 = 167,806.13 : x
  2. Step 2: Convert to fraction form
    76,380.19/167,806.13 = 167,806.13/x
  3. Step 3: Cross multiply
    76,380.19x = 167,806.13 × 167,806.13
  4. Step 4: Simplify right side
    76,380.19x = 28,158,895,587.52
  5. Step 5: Solve for x
    x = 28,158,895,587.52/76,380.19
  6. Step 6: Final answer
    x = 368,667.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.