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Finding the Third Proportional to 187,964 and 281,886

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Solution

The third proportional to 187,964 and 281,886 is: 422,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,964 : 281,886 = 281,886 : x
  2. Step 2: Convert to fraction form
    187,964/281,886 = 281,886/x
  3. Step 3: Cross multiply
    187,964x = 281,886 × 281,886
  4. Step 4: Simplify right side
    187,964x = 79,459,716,996
  5. Step 5: Solve for x
    x = 79,459,716,996/187,964
  6. Step 6: Final answer
    x = 422,739.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.