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Finding the Third Proportional to 183,602 and 389,252

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Solution

The third proportional to 183,602 and 389,252 is: 825,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,602 : 389,252 = 389,252 : x
  2. Step 2: Convert to fraction form
    183,602/389,252 = 389,252/x
  3. Step 3: Cross multiply
    183,602x = 389,252 × 389,252
  4. Step 4: Simplify right side
    183,602x = 151,517,119,504
  5. Step 5: Solve for x
    x = 151,517,119,504/183,602
  6. Step 6: Final answer
    x = 825,247.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.