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Finding the Third Proportional to 183,707 and 260,016

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Solution

The third proportional to 183,707 and 260,016 is: 368,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,707 : 260,016 = 260,016 : x
  2. Step 2: Convert to fraction form
    183,707/260,016 = 260,016/x
  3. Step 3: Cross multiply
    183,707x = 260,016 × 260,016
  4. Step 4: Simplify right side
    183,707x = 67,608,320,256
  5. Step 5: Solve for x
    x = 67,608,320,256/183,707
  6. Step 6: Final answer
    x = 368,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.