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Finding the Third Proportional to 76,210 and 166,496

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Solution

The third proportional to 76,210 and 166,496 is: 363,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210 : 166,496 = 166,496 : x
  2. Step 2: Convert to fraction form
    76,210/166,496 = 166,496/x
  3. Step 3: Cross multiply
    76,210x = 166,496 × 166,496
  4. Step 4: Simplify right side
    76,210x = 27,720,918,016
  5. Step 5: Solve for x
    x = 27,720,918,016/76,210
  6. Step 6: Final answer
    x = 363,743.84

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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.