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Finding the Third Proportional to 191,143.69 and 267,410.25

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Solution

The third proportional to 191,143.69 and 267,410.25 is: 374,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,143.69 : 267,410.25 = 267,410.25 : x
  2. Step 2: Convert to fraction form
    191,143.69/267,410.25 = 267,410.25/x
  3. Step 3: Cross multiply
    191,143.69x = 267,410.25 × 267,410.25
  4. Step 4: Simplify right side
    191,143.69x = 71,508,241,805.06
  5. Step 5: Solve for x
    x = 71,508,241,805.06/191,143.69
  6. Step 6: Final answer
    x = 374,107.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.