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Finding the Third Proportional to 165,295.69 and 245,512.69

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Solution

The third proportional to 165,295.69 and 245,512.69 is: 364,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,295.69 : 245,512.69 = 245,512.69 : x
  2. Step 2: Convert to fraction form
    165,295.69/245,512.69 = 245,512.69/x
  3. Step 3: Cross multiply
    165,295.69x = 245,512.69 × 245,512.69
  4. Step 4: Simplify right side
    165,295.69x = 60,276,479,723.47
  5. Step 5: Solve for x
    x = 60,276,479,723.47/165,295.69
  6. Step 6: Final answer
    x = 364,658.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.