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Finding the Third Proportional to 163,706.50 and 246,169.50

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Solution

The third proportional to 163,706.50 and 246,169.50 is: 370,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,706.50 : 246,169.50 = 246,169.50 : x
  2. Step 2: Convert to fraction form
    163,706.50/246,169.50 = 246,169.50/x
  3. Step 3: Cross multiply
    163,706.50x = 246,169.50 × 246,169.50
  4. Step 4: Simplify right side
    163,706.50x = 60,599,422,730.25
  5. Step 5: Solve for x
    x = 60,599,422,730.25/163,706.50
  6. Step 6: Final answer
    x = 370,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.