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Finding the Third Proportional to 86,182 and 182,798

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Solution

The third proportional to 86,182 and 182,798 is: 387,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182 : 182,798 = 182,798 : x
  2. Step 2: Convert to fraction form
    86,182/182,798 = 182,798/x
  3. Step 3: Cross multiply
    86,182x = 182,798 × 182,798
  4. Step 4: Simplify right side
    86,182x = 33,415,108,804
  5. Step 5: Solve for x
    x = 33,415,108,804/86,182
  6. Step 6: Final answer
    x = 387,727.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.