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Finding the Third Proportional to 130,238 and 267,380

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Solution

The third proportional to 130,238 and 267,380 is: 548,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,238 : 267,380 = 267,380 : x
  2. Step 2: Convert to fraction form
    130,238/267,380 = 267,380/x
  3. Step 3: Cross multiply
    130,238x = 267,380 × 267,380
  4. Step 4: Simplify right side
    130,238x = 71,492,064,400
  5. Step 5: Solve for x
    x = 71,492,064,400/130,238
  6. Step 6: Final answer
    x = 548,933.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.