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Finding the Third Proportional to 187,765.50 and 283,245

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Solution

The third proportional to 187,765.50 and 283,245 is: 427,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,765.50 : 283,245 = 283,245 : x
  2. Step 2: Convert to fraction form
    187,765.50/283,245 = 283,245/x
  3. Step 3: Cross multiply
    187,765.50x = 283,245 × 283,245
  4. Step 4: Simplify right side
    187,765.50x = 80,227,730,025
  5. Step 5: Solve for x
    x = 80,227,730,025/187,765.50
  6. Step 6: Final answer
    x = 427,276.20

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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.