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Finding the Third Proportional to 165,660.19 and 262,738.69

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Solution

The third proportional to 165,660.19 and 262,738.69 is: 416,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,660.19 : 262,738.69 = 262,738.69 : x
  2. Step 2: Convert to fraction form
    165,660.19/262,738.69 = 262,738.69/x
  3. Step 3: Cross multiply
    165,660.19x = 262,738.69 × 262,738.69
  4. Step 4: Simplify right side
    165,660.19x = 69,031,617,909.22
  5. Step 5: Solve for x
    x = 69,031,617,909.22/165,660.19
  6. Step 6: Final answer
    x = 416,706.14

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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.