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Finding the Third Proportional to 82,218 and 177,234

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Solution

The third proportional to 82,218 and 177,234 is: 382,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218 : 177,234 = 177,234 : x
  2. Step 2: Convert to fraction form
    82,218/177,234 = 177,234/x
  3. Step 3: Cross multiply
    82,218x = 177,234 × 177,234
  4. Step 4: Simplify right side
    82,218x = 31,411,890,756
  5. Step 5: Solve for x
    x = 31,411,890,756/82,218
  6. Step 6: Final answer
    x = 382,056.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.