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Finding the Third Proportional to 130,995 and 267,486

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Solution

The third proportional to 130,995 and 267,486 is: 546,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,995 : 267,486 = 267,486 : x
  2. Step 2: Convert to fraction form
    130,995/267,486 = 267,486/x
  3. Step 3: Cross multiply
    130,995x = 267,486 × 267,486
  4. Step 4: Simplify right side
    130,995x = 71,548,760,196
  5. Step 5: Solve for x
    x = 71,548,760,196/130,995
  6. Step 6: Final answer
    x = 546,194.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.