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Finding the Third Proportional to 187,762 and 283,238

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Solution

The third proportional to 187,762 and 283,238 is: 427,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,762 : 283,238 = 283,238 : x
  2. Step 2: Convert to fraction form
    187,762/283,238 = 283,238/x
  3. Step 3: Cross multiply
    187,762x = 283,238 × 283,238
  4. Step 4: Simplify right side
    187,762x = 80,223,764,644
  5. Step 5: Solve for x
    x = 80,223,764,644/187,762
  6. Step 6: Final answer
    x = 427,263.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.