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Finding the Third Proportional to 130,596 and 283,144

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Solution

The third proportional to 130,596 and 283,144 is: 613,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,596 : 283,144 = 283,144 : x
  2. Step 2: Convert to fraction form
    130,596/283,144 = 283,144/x
  3. Step 3: Cross multiply
    130,596x = 283,144 × 283,144
  4. Step 4: Simplify right side
    130,596x = 80,170,524,736
  5. Step 5: Solve for x
    x = 80,170,524,736/130,596
  6. Step 6: Final answer
    x = 613,881.93

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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.