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Finding the Third Proportional to 163,841.25 and 221,359.25

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Solution

The third proportional to 163,841.25 and 221,359.25 is: 299,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,841.25 : 221,359.25 = 221,359.25 : x
  2. Step 2: Convert to fraction form
    163,841.25/221,359.25 = 221,359.25/x
  3. Step 3: Cross multiply
    163,841.25x = 221,359.25 × 221,359.25
  4. Step 4: Simplify right side
    163,841.25x = 48,999,917,560.56
  5. Step 5: Solve for x
    x = 48,999,917,560.56/163,841.25
  6. Step 6: Final answer
    x = 299,069.48

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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.