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Finding the Third Proportional to 160,682 and 380,682

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Solution

The third proportional to 160,682 and 380,682 is: 901,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,682 : 380,682 = 380,682 : x
  2. Step 2: Convert to fraction form
    160,682/380,682 = 380,682/x
  3. Step 3: Cross multiply
    160,682x = 380,682 × 380,682
  4. Step 4: Simplify right side
    160,682x = 144,918,785,124
  5. Step 5: Solve for x
    x = 144,918,785,124/160,682
  6. Step 6: Final answer
    x = 901,898.07

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.