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Finding the Third Proportional to 186,523.50 and 281,558.25

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Solution

The third proportional to 186,523.50 and 281,558.25 is: 425,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,523.50 : 281,558.25 = 281,558.25 : x
  2. Step 2: Convert to fraction form
    186,523.50/281,558.25 = 281,558.25/x
  3. Step 3: Cross multiply
    186,523.50x = 281,558.25 × 281,558.25
  4. Step 4: Simplify right side
    186,523.50x = 79,275,048,143.06
  5. Step 5: Solve for x
    x = 79,275,048,143.06/186,523.50
  6. Step 6: Final answer
    x = 425,013.73

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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.