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Finding the Third Proportional to 183,229.50 and 280,293

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Solution

The third proportional to 183,229.50 and 280,293 is: 428,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,229.50 : 280,293 = 280,293 : x
  2. Step 2: Convert to fraction form
    183,229.50/280,293 = 280,293/x
  3. Step 3: Cross multiply
    183,229.50x = 280,293 × 280,293
  4. Step 4: Simplify right side
    183,229.50x = 78,564,165,849
  5. Step 5: Solve for x
    x = 78,564,165,849/183,229.50
  6. Step 6: Final answer
    x = 428,774.66

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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.