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Finding the Third Proportional to 163,823 and 220,143

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Solution

The third proportional to 163,823 and 220,143 is: 295,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,823 : 220,143 = 220,143 : x
  2. Step 2: Convert to fraction form
    163,823/220,143 = 220,143/x
  3. Step 3: Cross multiply
    163,823x = 220,143 × 220,143
  4. Step 4: Simplify right side
    163,823x = 48,462,940,449
  5. Step 5: Solve for x
    x = 48,462,940,449/163,823
  6. Step 6: Final answer
    x = 295,825.01

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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.