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Finding the Third Proportional to 119,892 and 259,224

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Solution

The third proportional to 119,892 and 259,224 is: 560,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,892 : 259,224 = 259,224 : x
  2. Step 2: Convert to fraction form
    119,892/259,224 = 259,224/x
  3. Step 3: Cross multiply
    119,892x = 259,224 × 259,224
  4. Step 4: Simplify right side
    119,892x = 67,197,082,176
  5. Step 5: Solve for x
    x = 67,197,082,176/119,892
  6. Step 6: Final answer
    x = 560,480.12

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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.