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Finding the Third Proportional to 81,790.50 and 176,469

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Solution

The third proportional to 81,790.50 and 176,469 is: 380,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,790.50 : 176,469 = 176,469 : x
  2. Step 2: Convert to fraction form
    81,790.50/176,469 = 176,469/x
  3. Step 3: Cross multiply
    81,790.50x = 176,469 × 176,469
  4. Step 4: Simplify right side
    81,790.50x = 31,141,307,961
  5. Step 5: Solve for x
    x = 31,141,307,961/81,790.50
  6. Step 6: Final answer
    x = 380,744.80

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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.