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Finding the Third Proportional to 108,178 and 237,668

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Solution

The third proportional to 108,178 and 237,668 is: 522,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,178 : 237,668 = 237,668 : x
  2. Step 2: Convert to fraction form
    108,178/237,668 = 237,668/x
  3. Step 3: Cross multiply
    108,178x = 237,668 × 237,668
  4. Step 4: Simplify right side
    108,178x = 56,486,078,224
  5. Step 5: Solve for x
    x = 56,486,078,224/108,178
  6. Step 6: Final answer
    x = 522,158.65

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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.