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Finding the Third Proportional to 76,254 and 167,268

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Solution

The third proportional to 76,254 and 167,268 is: 366,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254 : 167,268 = 167,268 : x
  2. Step 2: Convert to fraction form
    76,254/167,268 = 167,268/x
  3. Step 3: Cross multiply
    76,254x = 167,268 × 167,268
  4. Step 4: Simplify right side
    76,254x = 27,978,583,824
  5. Step 5: Solve for x
    x = 27,978,583,824/76,254
  6. Step 6: Final answer
    x = 366,913.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.