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Finding the Third Proportional to 163,806.75 and 220,124.25

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Solution

The third proportional to 163,806.75 and 220,124.25 is: 295,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,806.75 : 220,124.25 = 220,124.25 : x
  2. Step 2: Convert to fraction form
    163,806.75/220,124.25 = 220,124.25/x
  3. Step 3: Cross multiply
    163,806.75x = 220,124.25 × 220,124.25
  4. Step 4: Simplify right side
    163,806.75x = 48,454,685,438.06
  5. Step 5: Solve for x
    x = 48,454,685,438.06/163,806.75
  6. Step 6: Final answer
    x = 295,803.96

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Why These Related Problems?

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