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Finding the Third Proportional to 109,892 and 237,304

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Solution

The third proportional to 109,892 and 237,304 is: 512,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892 : 237,304 = 237,304 : x
  2. Step 2: Convert to fraction form
    109,892/237,304 = 237,304/x
  3. Step 3: Cross multiply
    109,892x = 237,304 × 237,304
  4. Step 4: Simplify right side
    109,892x = 56,313,188,416
  5. Step 5: Solve for x
    x = 56,313,188,416/109,892
  6. Step 6: Final answer
    x = 512,441.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.