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Finding the Third Proportional to 82,253 and 179,383

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Solution

The third proportional to 82,253 and 179,383 is: 391,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253 : 179,383 = 179,383 : x
  2. Step 2: Convert to fraction form
    82,253/179,383 = 179,383/x
  3. Step 3: Cross multiply
    82,253x = 179,383 × 179,383
  4. Step 4: Simplify right side
    82,253x = 32,178,260,689
  5. Step 5: Solve for x
    x = 32,178,260,689/82,253
  6. Step 6: Final answer
    x = 391,210.78

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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.