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Finding the Third Proportional to 170,958 and 265,399

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Solution

The third proportional to 170,958 and 265,399 is: 412,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,958 : 265,399 = 265,399 : x
  2. Step 2: Convert to fraction form
    170,958/265,399 = 265,399/x
  3. Step 3: Cross multiply
    170,958x = 265,399 × 265,399
  4. Step 4: Simplify right side
    170,958x = 70,436,629,201
  5. Step 5: Solve for x
    x = 70,436,629,201/170,958
  6. Step 6: Final answer
    x = 412,011.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.