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Finding the Third Proportional to 182,028 and 275,586

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Solution

The third proportional to 182,028 and 275,586 is: 417,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,028 : 275,586 = 275,586 : x
  2. Step 2: Convert to fraction form
    182,028/275,586 = 275,586/x
  3. Step 3: Cross multiply
    182,028x = 275,586 × 275,586
  4. Step 4: Simplify right side
    182,028x = 75,947,643,396
  5. Step 5: Solve for x
    x = 75,947,643,396/182,028
  6. Step 6: Final answer
    x = 417,230.55

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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.