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Finding the Third Proportional to 172,012 and 265,794

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Solution

The third proportional to 172,012 and 265,794 is: 410,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012 : 265,794 = 265,794 : x
  2. Step 2: Convert to fraction form
    172,012/265,794 = 265,794/x
  3. Step 3: Cross multiply
    172,012x = 265,794 × 265,794
  4. Step 4: Simplify right side
    172,012x = 70,646,450,436
  5. Step 5: Solve for x
    x = 70,646,450,436/172,012
  6. Step 6: Final answer
    x = 410,706.52

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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.