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Finding the Third Proportional to 163,660.50 and 396,667.13

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Solution

The third proportional to 163,660.50 and 396,667.13 is: 961,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,660.50 : 396,667.13 = 396,667.13 : x
  2. Step 2: Convert to fraction form
    163,660.50/396,667.13 = 396,667.13/x
  3. Step 3: Cross multiply
    163,660.50x = 396,667.13 × 396,667.13
  4. Step 4: Simplify right side
    163,660.50x = 157,344,808,055.77
  5. Step 5: Solve for x
    x = 157,344,808,055.77/163,660.50
  6. Step 6: Final answer
    x = 961,409.80

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.