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Finding the Third Proportional to 76,349 and 166,252

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Solution

The third proportional to 76,349 and 166,252 is: 362,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,349 : 166,252 = 166,252 : x
  2. Step 2: Convert to fraction form
    76,349/166,252 = 166,252/x
  3. Step 3: Cross multiply
    76,349x = 166,252 × 166,252
  4. Step 4: Simplify right side
    76,349x = 27,639,727,504
  5. Step 5: Solve for x
    x = 27,639,727,504/76,349
  6. Step 6: Final answer
    x = 362,018.20

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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.