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Finding the Third Proportional to 108,184 and 237,680

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Solution

The third proportional to 108,184 and 237,680 is: 522,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,184 : 237,680 = 237,680 : x
  2. Step 2: Convert to fraction form
    108,184/237,680 = 237,680/x
  3. Step 3: Cross multiply
    108,184x = 237,680 × 237,680
  4. Step 4: Simplify right side
    108,184x = 56,491,782,400
  5. Step 5: Solve for x
    x = 56,491,782,400/108,184
  6. Step 6: Final answer
    x = 522,182.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.