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Finding the Third Proportional to 192,567.38 and 255,575.25

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Solution

The third proportional to 192,567.38 and 255,575.25 is: 339,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,567.38 : 255,575.25 = 255,575.25 : x
  2. Step 2: Convert to fraction form
    192,567.38/255,575.25 = 255,575.25/x
  3. Step 3: Cross multiply
    192,567.38x = 255,575.25 × 255,575.25
  4. Step 4: Simplify right side
    192,567.38x = 65,318,708,412.56
  5. Step 5: Solve for x
    x = 65,318,708,412.56/192,567.38
  6. Step 6: Final answer
    x = 339,199.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.