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Finding the Third Proportional to 130,764 and 283,200

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Solution

The third proportional to 130,764 and 283,200 is: 613,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764 : 283,200 = 283,200 : x
  2. Step 2: Convert to fraction form
    130,764/283,200 = 283,200/x
  3. Step 3: Cross multiply
    130,764x = 283,200 × 283,200
  4. Step 4: Simplify right side
    130,764x = 80,202,240,000
  5. Step 5: Solve for x
    x = 80,202,240,000/130,764
  6. Step 6: Final answer
    x = 613,335.78

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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.