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Finding the Third Proportional to 140,682 and 332,097

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Solution

The third proportional to 140,682 and 332,097 is: 783,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,682 : 332,097 = 332,097 : x
  2. Step 2: Convert to fraction form
    140,682/332,097 = 332,097/x
  3. Step 3: Cross multiply
    140,682x = 332,097 × 332,097
  4. Step 4: Simplify right side
    140,682x = 110,288,417,409
  5. Step 5: Solve for x
    x = 110,288,417,409/140,682
  6. Step 6: Final answer
    x = 783,955.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.