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Finding the Third Proportional to 182,024 and 275,580

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Solution

The third proportional to 182,024 and 275,580 is: 417,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,024 : 275,580 = 275,580 : x
  2. Step 2: Convert to fraction form
    182,024/275,580 = 275,580/x
  3. Step 3: Cross multiply
    182,024x = 275,580 × 275,580
  4. Step 4: Simplify right side
    182,024x = 75,944,336,400
  5. Step 5: Solve for x
    x = 75,944,336,400/182,024
  6. Step 6: Final answer
    x = 417,221.56

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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.