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Finding the Third Proportional to 163,764 and 210,654

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Solution

The third proportional to 163,764 and 210,654 is: 270,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,764 : 210,654 = 210,654 : x
  2. Step 2: Convert to fraction form
    163,764/210,654 = 210,654/x
  3. Step 3: Cross multiply
    163,764x = 210,654 × 210,654
  4. Step 4: Simplify right side
    163,764x = 44,375,107,716
  5. Step 5: Solve for x
    x = 44,375,107,716/163,764
  6. Step 6: Final answer
    x = 270,969.86

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.