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Finding the Third Proportional to 165,658.92 and 265,786.31

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Solution

The third proportional to 165,658.92 and 265,786.31 is: 426,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,658.92 : 265,786.31 = 265,786.31 : x
  2. Step 2: Convert to fraction form
    165,658.92/265,786.31 = 265,786.31/x
  3. Step 3: Cross multiply
    165,658.92x = 265,786.31 × 265,786.31
  4. Step 4: Simplify right side
    165,658.92x = 70,642,363,912.35
  5. Step 5: Solve for x
    x = 70,642,363,912.35/165,658.92
  6. Step 6: Final answer
    x = 426,432.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.