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Finding the Third Proportional to 80,914.50 and 176,013

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Solution

The third proportional to 80,914.50 and 176,013 is: 382,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,914.50 : 176,013 = 176,013 : x
  2. Step 2: Convert to fraction form
    80,914.50/176,013 = 176,013/x
  3. Step 3: Cross multiply
    80,914.50x = 176,013 × 176,013
  4. Step 4: Simplify right side
    80,914.50x = 30,980,576,169
  5. Step 5: Solve for x
    x = 30,980,576,169/80,914.50
  6. Step 6: Final answer
    x = 382,880.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.