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Finding the Third Proportional to 82,884 and 177,402

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Solution

The third proportional to 82,884 and 177,402 is: 379,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884 : 177,402 = 177,402 : x
  2. Step 2: Convert to fraction form
    82,884/177,402 = 177,402/x
  3. Step 3: Cross multiply
    82,884x = 177,402 × 177,402
  4. Step 4: Simplify right side
    82,884x = 31,471,469,604
  5. Step 5: Solve for x
    x = 31,471,469,604/82,884
  6. Step 6: Final answer
    x = 379,705.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.