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Finding the Third Proportional to 135,874.69 and 295,160.63

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Solution

The third proportional to 135,874.69 and 295,160.63 is: 641,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,874.69 : 295,160.63 = 295,160.63 : x
  2. Step 2: Convert to fraction form
    135,874.69/295,160.63 = 295,160.63/x
  3. Step 3: Cross multiply
    135,874.69x = 295,160.63 × 295,160.63
  4. Step 4: Simplify right side
    135,874.69x = 87,119,794,550.39
  5. Step 5: Solve for x
    x = 87,119,794,550.39/135,874.69
  6. Step 6: Final answer
    x = 641,177.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.