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Finding the Third Proportional to 80,534 and 163,228

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Solution

The third proportional to 80,534 and 163,228 is: 330,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,534 : 163,228 = 163,228 : x
  2. Step 2: Convert to fraction form
    80,534/163,228 = 163,228/x
  3. Step 3: Cross multiply
    80,534x = 163,228 × 163,228
  4. Step 4: Simplify right side
    80,534x = 26,643,379,984
  5. Step 5: Solve for x
    x = 26,643,379,984/80,534
  6. Step 6: Final answer
    x = 330,833.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.