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Finding the Third Proportional to 84,008 and 182,778

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Solution

The third proportional to 84,008 and 182,778 is: 397,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008 : 182,778 = 182,778 : x
  2. Step 2: Convert to fraction form
    84,008/182,778 = 182,778/x
  3. Step 3: Cross multiply
    84,008x = 182,778 × 182,778
  4. Step 4: Simplify right side
    84,008x = 33,407,797,284
  5. Step 5: Solve for x
    x = 33,407,797,284/84,008
  6. Step 6: Final answer
    x = 397,674.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.