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Finding the Third Proportional to 141,180 and 309,996

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Solution

The third proportional to 141,180 and 309,996 is: 680,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,180 : 309,996 = 309,996 : x
  2. Step 2: Convert to fraction form
    141,180/309,996 = 309,996/x
  3. Step 3: Cross multiply
    141,180x = 309,996 × 309,996
  4. Step 4: Simplify right side
    141,180x = 96,097,520,016
  5. Step 5: Solve for x
    x = 96,097,520,016/141,180
  6. Step 6: Final answer
    x = 680,673.75

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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.