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Finding the Third Proportional to 165,650.06 and 262,723.82

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Solution

The third proportional to 165,650.06 and 262,723.82 is: 416,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,650.06 : 262,723.82 = 262,723.82 : x
  2. Step 2: Convert to fraction form
    165,650.06/262,723.82 = 262,723.82/x
  3. Step 3: Cross multiply
    165,650.06x = 262,723.82 × 262,723.82
  4. Step 4: Simplify right side
    165,650.06x = 69,023,803,707.07
  5. Step 5: Solve for x
    x = 69,023,803,707.07/165,650.06
  6. Step 6: Final answer
    x = 416,684.44

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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.