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Finding the Third Proportional to 187,761 and 283,234.50

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Solution

The third proportional to 187,761 and 283,234.50 is: 427,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,761 : 283,234.50 = 283,234.50 : x
  2. Step 2: Convert to fraction form
    187,761/283,234.50 = 283,234.50/x
  3. Step 3: Cross multiply
    187,761x = 283,234.50 × 283,234.50
  4. Step 4: Simplify right side
    187,761x = 80,221,781,990.25
  5. Step 5: Solve for x
    x = 80,221,781,990.25/187,761
  6. Step 6: Final answer
    x = 427,254.77

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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.