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Finding the Third Proportional to 170,011 and 371,126

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Solution

The third proportional to 170,011 and 371,126 is: 810,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,011 : 371,126 = 371,126 : x
  2. Step 2: Convert to fraction form
    170,011/371,126 = 371,126/x
  3. Step 3: Cross multiply
    170,011x = 371,126 × 371,126
  4. Step 4: Simplify right side
    170,011x = 137,734,507,876
  5. Step 5: Solve for x
    x = 137,734,507,876/170,011
  6. Step 6: Final answer
    x = 810,150.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.