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Finding the Third Proportional to 141,892 and 222,630

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Solution

The third proportional to 141,892 and 222,630 is: 349,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,892 : 222,630 = 222,630 : x
  2. Step 2: Convert to fraction form
    141,892/222,630 = 222,630/x
  3. Step 3: Cross multiply
    141,892x = 222,630 × 222,630
  4. Step 4: Simplify right side
    141,892x = 49,564,116,900
  5. Step 5: Solve for x
    x = 49,564,116,900/141,892
  6. Step 6: Final answer
    x = 349,308.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.