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Finding the Third Proportional to 84,509 and 182,550

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Solution

The third proportional to 84,509 and 182,550 is: 394,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,509 : 182,550 = 182,550 : x
  2. Step 2: Convert to fraction form
    84,509/182,550 = 182,550/x
  3. Step 3: Cross multiply
    84,509x = 182,550 × 182,550
  4. Step 4: Simplify right side
    84,509x = 33,324,502,500
  5. Step 5: Solve for x
    x = 33,324,502,500/84,509
  6. Step 6: Final answer
    x = 394,330.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.