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Finding the Third Proportional to 130,080 and 283,734

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Solution

The third proportional to 130,080 and 283,734 is: 618,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,080 : 283,734 = 283,734 : x
  2. Step 2: Convert to fraction form
    130,080/283,734 = 283,734/x
  3. Step 3: Cross multiply
    130,080x = 283,734 × 283,734
  4. Step 4: Simplify right side
    130,080x = 80,504,982,756
  5. Step 5: Solve for x
    x = 80,504,982,756/130,080
  6. Step 6: Final answer
    x = 618,888.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.