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Finding the Third Proportional to 165,609.56 and 262,657.69

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Solution

The third proportional to 165,609.56 and 262,657.69 is: 416,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,609.56 : 262,657.69 = 262,657.69 : x
  2. Step 2: Convert to fraction form
    165,609.56/262,657.69 = 262,657.69/x
  3. Step 3: Cross multiply
    165,609.56x = 262,657.69 × 262,657.69
  4. Step 4: Simplify right side
    165,609.56x = 68,989,060,802.85
  5. Step 5: Solve for x
    x = 68,989,060,802.85/165,609.56
  6. Step 6: Final answer
    x = 416,576.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.