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Finding the Third Proportional to 75,360.38 and 165,513.38

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Solution

The third proportional to 75,360.38 and 165,513.38 is: 363,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360.38 : 165,513.38 = 165,513.38 : x
  2. Step 2: Convert to fraction form
    75,360.38/165,513.38 = 165,513.38/x
  3. Step 3: Cross multiply
    75,360.38x = 165,513.38 × 165,513.38
  4. Step 4: Simplify right side
    75,360.38x = 27,394,677,303.89
  5. Step 5: Solve for x
    x = 27,394,677,303.89/75,360.38
  6. Step 6: Final answer
    x = 363,515.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.