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Finding the Third Proportional to 163,865.25 and 221,394.38

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Solution

The third proportional to 163,865.25 and 221,394.38 is: 299,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,865.25 : 221,394.38 = 221,394.38 : x
  2. Step 2: Convert to fraction form
    163,865.25/221,394.38 = 221,394.38/x
  3. Step 3: Cross multiply
    163,865.25x = 221,394.38 × 221,394.38
  4. Step 4: Simplify right side
    163,865.25x = 49,015,469,281.64
  5. Step 5: Solve for x
    x = 49,015,469,281.64/163,865.25
  6. Step 6: Final answer
    x = 299,120.58

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Why These Related Problems?

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