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Finding the Third Proportional to 81,529.50 and 176,629.50

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Solution

The third proportional to 81,529.50 and 176,629.50 is: 382,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,529.50 : 176,629.50 = 176,629.50 : x
  2. Step 2: Convert to fraction form
    81,529.50/176,629.50 = 176,629.50/x
  3. Step 3: Cross multiply
    81,529.50x = 176,629.50 × 176,629.50
  4. Step 4: Simplify right side
    81,529.50x = 31,197,980,270.25
  5. Step 5: Solve for x
    x = 31,197,980,270.25/81,529.50
  6. Step 6: Final answer
    x = 382,658.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.