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Finding the Third Proportional to 130,997 and 267,490

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Solution

The third proportional to 130,997 and 267,490 is: 546,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,997 : 267,490 = 267,490 : x
  2. Step 2: Convert to fraction form
    130,997/267,490 = 267,490/x
  3. Step 3: Cross multiply
    130,997x = 267,490 × 267,490
  4. Step 4: Simplify right side
    130,997x = 71,550,900,100
  5. Step 5: Solve for x
    x = 71,550,900,100/130,997
  6. Step 6: Final answer
    x = 546,202.59

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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.