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Finding the Third Proportional to 255,462.75 and 383,194.13

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Solution

The third proportional to 255,462.75 and 383,194.13 is: 574,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,462.75 : 383,194.13 = 383,194.13 : x
  2. Step 2: Convert to fraction form
    255,462.75/383,194.13 = 383,194.13/x
  3. Step 3: Cross multiply
    255,462.75x = 383,194.13 × 383,194.13
  4. Step 4: Simplify right side
    255,462.75x = 146,837,737,434.52
  5. Step 5: Solve for x
    x = 146,837,737,434.52/255,462.75
  6. Step 6: Final answer
    x = 574,791.19

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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.