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Finding the Third Proportional to 164,268 and 181,548

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Solution

The third proportional to 164,268 and 181,548 is: 200,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,268 : 181,548 = 181,548 : x
  2. Step 2: Convert to fraction form
    164,268/181,548 = 181,548/x
  3. Step 3: Cross multiply
    164,268x = 181,548 × 181,548
  4. Step 4: Simplify right side
    164,268x = 32,959,676,304
  5. Step 5: Solve for x
    x = 32,959,676,304/164,268
  6. Step 6: Final answer
    x = 200,645.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.