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Finding the Third Proportional to 170,962 and 265,405

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Solution

The third proportional to 170,962 and 265,405 is: 412,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,962 : 265,405 = 265,405 : x
  2. Step 2: Convert to fraction form
    170,962/265,405 = 265,405/x
  3. Step 3: Cross multiply
    170,962x = 265,405 × 265,405
  4. Step 4: Simplify right side
    170,962x = 70,439,814,025
  5. Step 5: Solve for x
    x = 70,439,814,025/170,962
  6. Step 6: Final answer
    x = 412,020.30

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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.