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Finding the Third Proportional to 186,752.25 and 280,311.75

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Solution

The third proportional to 186,752.25 and 280,311.75 is: 420,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,752.25 : 280,311.75 = 280,311.75 : x
  2. Step 2: Convert to fraction form
    186,752.25/280,311.75 = 280,311.75/x
  3. Step 3: Cross multiply
    186,752.25x = 280,311.75 × 280,311.75
  4. Step 4: Simplify right side
    186,752.25x = 78,574,677,188.06
  5. Step 5: Solve for x
    x = 78,574,677,188.06/186,752.25
  6. Step 6: Final answer
    x = 420,742.87

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Why These Related Problems?

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