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Finding the Third Proportional to 163,869 and 221,400

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Solution

The third proportional to 163,869 and 221,400 is: 299,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,869 : 221,400 = 221,400 : x
  2. Step 2: Convert to fraction form
    163,869/221,400 = 221,400/x
  3. Step 3: Cross multiply
    163,869x = 221,400 × 221,400
  4. Step 4: Simplify right side
    163,869x = 49,017,960,000
  5. Step 5: Solve for x
    x = 49,017,960,000/163,869
  6. Step 6: Final answer
    x = 299,128.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.