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Finding the Third Proportional to 76,384 and 166,321

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Solution

The third proportional to 76,384 and 166,321 is: 362,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384 : 166,321 = 166,321 : x
  2. Step 2: Convert to fraction form
    76,384/166,321 = 166,321/x
  3. Step 3: Cross multiply
    76,384x = 166,321 × 166,321
  4. Step 4: Simplify right side
    76,384x = 27,662,675,041
  5. Step 5: Solve for x
    x = 27,662,675,041/76,384
  6. Step 6: Final answer
    x = 362,152.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.