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Finding the Third Proportional to 163,707.50 and 246,171

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Solution

The third proportional to 163,707.50 and 246,171 is: 370,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,707.50 : 246,171 = 246,171 : x
  2. Step 2: Convert to fraction form
    163,707.50/246,171 = 246,171/x
  3. Step 3: Cross multiply
    163,707.50x = 246,171 × 246,171
  4. Step 4: Simplify right side
    163,707.50x = 60,600,161,241
  5. Step 5: Solve for x
    x = 60,600,161,241/163,707.50
  6. Step 6: Final answer
    x = 370,173.40

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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.