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Finding the Third Proportional to 82,374.75 and 179,855.63

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Solution

The third proportional to 82,374.75 and 179,855.63 is: 392,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374.75 : 179,855.63 = 179,855.63 : x
  2. Step 2: Convert to fraction form
    82,374.75/179,855.63 = 179,855.63/x
  3. Step 3: Cross multiply
    82,374.75x = 179,855.63 × 179,855.63
  4. Step 4: Simplify right side
    82,374.75x = 32,348,045,844.14
  5. Step 5: Solve for x
    x = 32,348,045,844.14/82,374.75
  6. Step 6: Final answer
    x = 392,693.71

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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.