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Finding the Third Proportional to 82,236 and 176,943

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Solution

The third proportional to 82,236 and 176,943 is: 380,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,236 : 176,943 = 176,943 : x
  2. Step 2: Convert to fraction form
    82,236/176,943 = 176,943/x
  3. Step 3: Cross multiply
    82,236x = 176,943 × 176,943
  4. Step 4: Simplify right side
    82,236x = 31,308,825,249
  5. Step 5: Solve for x
    x = 31,308,825,249/82,236
  6. Step 6: Final answer
    x = 380,719.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.