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Finding the Third Proportional to 128,702 and 283,600

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Solution

The third proportional to 128,702 and 283,600 is: 624,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,702 : 283,600 = 283,600 : x
  2. Step 2: Convert to fraction form
    128,702/283,600 = 283,600/x
  3. Step 3: Cross multiply
    128,702x = 283,600 × 283,600
  4. Step 4: Simplify right side
    128,702x = 80,428,960,000
  5. Step 5: Solve for x
    x = 80,428,960,000/128,702
  6. Step 6: Final answer
    x = 624,923.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.