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Finding the Third Proportional to 187,758 and 283,230

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Solution

The third proportional to 187,758 and 283,230 is: 427,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758 : 283,230 = 283,230 : x
  2. Step 2: Convert to fraction form
    187,758/283,230 = 283,230/x
  3. Step 3: Cross multiply
    187,758x = 283,230 × 283,230
  4. Step 4: Simplify right side
    187,758x = 80,219,232,900
  5. Step 5: Solve for x
    x = 80,219,232,900/187,758
  6. Step 6: Final answer
    x = 427,248.02

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