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Finding the Third Proportional to 165,976 and 238,596

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Solution

The third proportional to 165,976 and 238,596 is: 342,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,976 : 238,596 = 238,596 : x
  2. Step 2: Convert to fraction form
    165,976/238,596 = 238,596/x
  3. Step 3: Cross multiply
    165,976x = 238,596 × 238,596
  4. Step 4: Simplify right side
    165,976x = 56,928,051,216
  5. Step 5: Solve for x
    x = 56,928,051,216/165,976
  6. Step 6: Final answer
    x = 342,989.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.