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Finding the Third Proportional to 163,620 and 219,874.50

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Solution

The third proportional to 163,620 and 219,874.50 is: 295,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,620 : 219,874.50 = 219,874.50 : x
  2. Step 2: Convert to fraction form
    163,620/219,874.50 = 219,874.50/x
  3. Step 3: Cross multiply
    163,620x = 219,874.50 × 219,874.50
  4. Step 4: Simplify right side
    163,620x = 48,344,795,750.25
  5. Step 5: Solve for x
    x = 48,344,795,750.25/163,620
  6. Step 6: Final answer
    x = 295,469.97

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.