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Finding the Third Proportional to 130,874 and 283,996

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Solution

The third proportional to 130,874 and 283,996 is: 616,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,874 : 283,996 = 283,996 : x
  2. Step 2: Convert to fraction form
    130,874/283,996 = 283,996/x
  3. Step 3: Cross multiply
    130,874x = 283,996 × 283,996
  4. Step 4: Simplify right side
    130,874x = 80,653,728,016
  5. Step 5: Solve for x
    x = 80,653,728,016/130,874
  6. Step 6: Final answer
    x = 616,270.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.