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Finding the Third Proportional to 186,671.81 and 283,447.69

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Solution

The third proportional to 186,671.81 and 283,447.69 is: 430,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,671.81 : 283,447.69 = 283,447.69 : x
  2. Step 2: Convert to fraction form
    186,671.81/283,447.69 = 283,447.69/x
  3. Step 3: Cross multiply
    186,671.81x = 283,447.69 × 283,447.69
  4. Step 4: Simplify right side
    186,671.81x = 80,342,591,549.10
  5. Step 5: Solve for x
    x = 80,342,591,549.10/186,671.81
  6. Step 6: Final answer
    x = 430,394.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.