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Finding the Third Proportional to 80,260 and 170,888

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Solution

The third proportional to 80,260 and 170,888 is: 363,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,260 : 170,888 = 170,888 : x
  2. Step 2: Convert to fraction form
    80,260/170,888 = 170,888/x
  3. Step 3: Cross multiply
    80,260x = 170,888 × 170,888
  4. Step 4: Simplify right side
    80,260x = 29,202,708,544
  5. Step 5: Solve for x
    x = 29,202,708,544/80,260
  6. Step 6: Final answer
    x = 363,851.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.