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Finding the Third Proportional to 141,168 and 309,972

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Solution

The third proportional to 141,168 and 309,972 is: 680,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,168 : 309,972 = 309,972 : x
  2. Step 2: Convert to fraction form
    141,168/309,972 = 309,972/x
  3. Step 3: Cross multiply
    141,168x = 309,972 × 309,972
  4. Step 4: Simplify right side
    141,168x = 96,082,640,784
  5. Step 5: Solve for x
    x = 96,082,640,784/141,168
  6. Step 6: Final answer
    x = 680,626.21

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