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Finding the Third Proportional to 130,761 and 279,504

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Solution

The third proportional to 130,761 and 279,504 is: 597,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761 : 279,504 = 279,504 : x
  2. Step 2: Convert to fraction form
    130,761/279,504 = 279,504/x
  3. Step 3: Cross multiply
    130,761x = 279,504 × 279,504
  4. Step 4: Simplify right side
    130,761x = 78,122,486,016
  5. Step 5: Solve for x
    x = 78,122,486,016/130,761
  6. Step 6: Final answer
    x = 597,444.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.