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Finding the Third Proportional to 273,255.50 and 382,114.50

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Solution

The third proportional to 273,255.50 and 382,114.50 is: 534,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,255.50 : 382,114.50 = 382,114.50 : x
  2. Step 2: Convert to fraction form
    273,255.50/382,114.50 = 382,114.50/x
  3. Step 3: Cross multiply
    273,255.50x = 382,114.50 × 382,114.50
  4. Step 4: Simplify right side
    273,255.50x = 146,011,491,110.25
  5. Step 5: Solve for x
    x = 146,011,491,110.25/273,255.50
  6. Step 6: Final answer
    x = 534,340.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.