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Finding the Third Proportional to 165,672.75 and 262,751.63

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Solution

The third proportional to 165,672.75 and 262,751.63 is: 416,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672.75 : 262,751.63 = 262,751.63 : x
  2. Step 2: Convert to fraction form
    165,672.75/262,751.63 = 262,751.63/x
  3. Step 3: Cross multiply
    165,672.75x = 262,751.63 × 262,751.63
  4. Step 4: Simplify right side
    165,672.75x = 69,038,416,440.14
  5. Step 5: Solve for x
    x = 69,038,416,440.14/165,672.75
  6. Step 6: Final answer
    x = 416,715.58

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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.