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Finding the Third Proportional to 82,224 and 176,916

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Solution

The third proportional to 82,224 and 176,916 is: 380,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224 : 176,916 = 176,916 : x
  2. Step 2: Convert to fraction form
    82,224/176,916 = 176,916/x
  3. Step 3: Cross multiply
    82,224x = 176,916 × 176,916
  4. Step 4: Simplify right side
    82,224x = 31,299,271,056
  5. Step 5: Solve for x
    x = 31,299,271,056/82,224
  6. Step 6: Final answer
    x = 380,658.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.