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Finding the Third Proportional to 166,914 and 360,531

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Solution

The third proportional to 166,914 and 360,531 is: 778,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,914 : 360,531 = 360,531 : x
  2. Step 2: Convert to fraction form
    166,914/360,531 = 360,531/x
  3. Step 3: Cross multiply
    166,914x = 360,531 × 360,531
  4. Step 4: Simplify right side
    166,914x = 129,982,601,961
  5. Step 5: Solve for x
    x = 129,982,601,961/166,914
  6. Step 6: Final answer
    x = 778,739.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.