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Finding the Third Proportional to 170,022 and 273,014

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Solution

The third proportional to 170,022 and 273,014 is: 438,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,022 : 273,014 = 273,014 : x
  2. Step 2: Convert to fraction form
    170,022/273,014 = 273,014/x
  3. Step 3: Cross multiply
    170,022x = 273,014 × 273,014
  4. Step 4: Simplify right side
    170,022x = 74,536,644,196
  5. Step 5: Solve for x
    x = 74,536,644,196/170,022
  6. Step 6: Final answer
    x = 438,394.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.