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Finding the Third Proportional to 182,125 and 275,728

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Solution

The third proportional to 182,125 and 275,728 is: 417,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,125 : 275,728 = 275,728 : x
  2. Step 2: Convert to fraction form
    182,125/275,728 = 275,728/x
  3. Step 3: Cross multiply
    182,125x = 275,728 × 275,728
  4. Step 4: Simplify right side
    182,125x = 76,025,929,984
  5. Step 5: Solve for x
    x = 76,025,929,984/182,125
  6. Step 6: Final answer
    x = 417,438.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.