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Finding the Third Proportional to 186,858 and 280,013

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Solution

The third proportional to 186,858 and 280,013 is: 419,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858 : 280,013 = 280,013 : x
  2. Step 2: Convert to fraction form
    186,858/280,013 = 280,013/x
  3. Step 3: Cross multiply
    186,858x = 280,013 × 280,013
  4. Step 4: Simplify right side
    186,858x = 78,407,280,169
  5. Step 5: Solve for x
    x = 78,407,280,169/186,858
  6. Step 6: Final answer
    x = 419,608.90

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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.