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Finding the Third Proportional to 119,144.25 and 255,564

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Solution

The third proportional to 119,144.25 and 255,564 is: 548,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.25 : 255,564 = 255,564 : x
  2. Step 2: Convert to fraction form
    119,144.25/255,564 = 255,564/x
  3. Step 3: Cross multiply
    119,144.25x = 255,564 × 255,564
  4. Step 4: Simplify right side
    119,144.25x = 65,312,958,096
  5. Step 5: Solve for x
    x = 65,312,958,096/119,144.25
  6. Step 6: Final answer
    x = 548,183.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.