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Finding the Third Proportional to 163,538 and 239,922

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Solution

The third proportional to 163,538 and 239,922 is: 351,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,538 : 239,922 = 239,922 : x
  2. Step 2: Convert to fraction form
    163,538/239,922 = 239,922/x
  3. Step 3: Cross multiply
    163,538x = 239,922 × 239,922
  4. Step 4: Simplify right side
    163,538x = 57,562,566,084
  5. Step 5: Solve for x
    x = 57,562,566,084/163,538
  6. Step 6: Final answer
    x = 351,982.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.