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Finding the Third Proportional to 158,932 and 336,818

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Solution

The third proportional to 158,932 and 336,818 is: 713,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,932 : 336,818 = 336,818 : x
  2. Step 2: Convert to fraction form
    158,932/336,818 = 336,818/x
  3. Step 3: Cross multiply
    158,932x = 336,818 × 336,818
  4. Step 4: Simplify right side
    158,932x = 113,446,365,124
  5. Step 5: Solve for x
    x = 113,446,365,124/158,932
  6. Step 6: Final answer
    x = 713,804.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.