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Finding the Third Proportional to 166,785 and 245,766

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Solution

The third proportional to 166,785 and 245,766 is: 362,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,785 : 245,766 = 245,766 : x
  2. Step 2: Convert to fraction form
    166,785/245,766 = 245,766/x
  3. Step 3: Cross multiply
    166,785x = 245,766 × 245,766
  4. Step 4: Simplify right side
    166,785x = 60,400,926,756
  5. Step 5: Solve for x
    x = 60,400,926,756/166,785
  6. Step 6: Final answer
    x = 362,148.44

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Why These Related Problems?

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