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Finding the Third Proportional to 171,276 and 361,017

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Solution

The third proportional to 171,276 and 361,017 is: 760,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,276 : 361,017 = 361,017 : x
  2. Step 2: Convert to fraction form
    171,276/361,017 = 361,017/x
  3. Step 3: Cross multiply
    171,276x = 361,017 × 361,017
  4. Step 4: Simplify right side
    171,276x = 130,333,274,289
  5. Step 5: Solve for x
    x = 130,333,274,289/171,276
  6. Step 6: Final answer
    x = 760,954.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.