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Finding the Third Proportional to 141,172 and 309,980

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Solution

The third proportional to 141,172 and 309,980 is: 680,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,172 : 309,980 = 309,980 : x
  2. Step 2: Convert to fraction form
    141,172/309,980 = 309,980/x
  3. Step 3: Cross multiply
    141,172x = 309,980 × 309,980
  4. Step 4: Simplify right side
    141,172x = 96,087,600,400
  5. Step 5: Solve for x
    x = 96,087,600,400/141,172
  6. Step 6: Final answer
    x = 680,642.06

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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.