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Finding the Third Proportional to 191,126 and 267,321

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Solution

The third proportional to 191,126 and 267,321 is: 373,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,126 : 267,321 = 267,321 : x
  2. Step 2: Convert to fraction form
    191,126/267,321 = 267,321/x
  3. Step 3: Cross multiply
    191,126x = 267,321 × 267,321
  4. Step 4: Simplify right side
    191,126x = 71,460,517,041
  5. Step 5: Solve for x
    x = 71,460,517,041/191,126
  6. Step 6: Final answer
    x = 373,892.18

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Why These Related Problems?

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