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Finding the Third Proportional to 165,522 and 368,521

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Solution

The third proportional to 165,522 and 368,521 is: 820,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,522 : 368,521 = 368,521 : x
  2. Step 2: Convert to fraction form
    165,522/368,521 = 368,521/x
  3. Step 3: Cross multiply
    165,522x = 368,521 × 368,521
  4. Step 4: Simplify right side
    165,522x = 135,807,727,441
  5. Step 5: Solve for x
    x = 135,807,727,441/165,522
  6. Step 6: Final answer
    x = 820,481.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.