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Finding the Third Proportional to 82,184 and 176,854

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Solution

The third proportional to 82,184 and 176,854 is: 380,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,184 : 176,854 = 176,854 : x
  2. Step 2: Convert to fraction form
    82,184/176,854 = 176,854/x
  3. Step 3: Cross multiply
    82,184x = 176,854 × 176,854
  4. Step 4: Simplify right side
    82,184x = 31,277,337,316
  5. Step 5: Solve for x
    x = 31,277,337,316/82,184
  6. Step 6: Final answer
    x = 380,576.97

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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.