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Finding the Third Proportional to 183,506.25 and 280,744

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Solution

The third proportional to 183,506.25 and 280,744 is: 429,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,506.25 : 280,744 = 280,744 : x
  2. Step 2: Convert to fraction form
    183,506.25/280,744 = 280,744/x
  3. Step 3: Cross multiply
    183,506.25x = 280,744 × 280,744
  4. Step 4: Simplify right side
    183,506.25x = 78,817,193,536
  5. Step 5: Solve for x
    x = 78,817,193,536/183,506.25
  6. Step 6: Final answer
    x = 429,506.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.