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Finding the Third Proportional to 171,692 and 265,844

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Solution

The third proportional to 171,692 and 265,844 is: 411,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,692 : 265,844 = 265,844 : x
  2. Step 2: Convert to fraction form
    171,692/265,844 = 265,844/x
  3. Step 3: Cross multiply
    171,692x = 265,844 × 265,844
  4. Step 4: Simplify right side
    171,692x = 70,673,032,336
  5. Step 5: Solve for x
    x = 70,673,032,336/171,692
  6. Step 6: Final answer
    x = 411,626.82

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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.