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Finding the Third Proportional to 76,385.25 and 167,823

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Solution

The third proportional to 76,385.25 and 167,823 is: 368,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,385.25 : 167,823 = 167,823 : x
  2. Step 2: Convert to fraction form
    76,385.25/167,823 = 167,823/x
  3. Step 3: Cross multiply
    76,385.25x = 167,823 × 167,823
  4. Step 4: Simplify right side
    76,385.25x = 28,164,559,329
  5. Step 5: Solve for x
    x = 28,164,559,329/76,385.25
  6. Step 6: Final answer
    x = 368,717.25

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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.