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Finding the Third Proportional to 76,344.19 and 167,779.69

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Solution

The third proportional to 76,344.19 and 167,779.69 is: 368,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344.19 : 167,779.69 = 167,779.69 : x
  2. Step 2: Convert to fraction form
    76,344.19/167,779.69 = 167,779.69/x
  3. Step 3: Cross multiply
    76,344.19x = 167,779.69 × 167,779.69
  4. Step 4: Simplify right side
    76,344.19x = 28,150,023,537.60
  5. Step 5: Solve for x
    x = 28,150,023,537.60/76,344.19
  6. Step 6: Final answer
    x = 368,725.17

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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.