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Finding the Third Proportional to 163,534 and 239,917

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Solution

The third proportional to 163,534 and 239,917 is: 351,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,534 : 239,917 = 239,917 : x
  2. Step 2: Convert to fraction form
    163,534/239,917 = 239,917/x
  3. Step 3: Cross multiply
    163,534x = 239,917 × 239,917
  4. Step 4: Simplify right side
    163,534x = 57,560,166,889
  5. Step 5: Solve for x
    x = 57,560,166,889/163,534
  6. Step 6: Final answer
    x = 351,976.76

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