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Finding the Third Proportional to 84,170 and 181,462

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Solution

The third proportional to 84,170 and 181,462 is: 391,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170 : 181,462 = 181,462 : x
  2. Step 2: Convert to fraction form
    84,170/181,462 = 181,462/x
  3. Step 3: Cross multiply
    84,170x = 181,462 × 181,462
  4. Step 4: Simplify right side
    84,170x = 32,928,457,444
  5. Step 5: Solve for x
    x = 32,928,457,444/84,170
  6. Step 6: Final answer
    x = 391,213.70

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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.