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Finding the Third Proportional to 80,302 and 170,244

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Solution

The third proportional to 80,302 and 170,244 is: 360,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,302 : 170,244 = 170,244 : x
  2. Step 2: Convert to fraction form
    80,302/170,244 = 170,244/x
  3. Step 3: Cross multiply
    80,302x = 170,244 × 170,244
  4. Step 4: Simplify right side
    80,302x = 28,983,019,536
  5. Step 5: Solve for x
    x = 28,983,019,536/80,302
  6. Step 6: Final answer
    x = 360,925.25

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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.