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Finding the Third Proportional to 172,017 and 377,244

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Solution

The third proportional to 172,017 and 377,244 is: 827,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,017 : 377,244 = 377,244 : x
  2. Step 2: Convert to fraction form
    172,017/377,244 = 377,244/x
  3. Step 3: Cross multiply
    172,017x = 377,244 × 377,244
  4. Step 4: Simplify right side
    172,017x = 142,313,035,536
  5. Step 5: Solve for x
    x = 142,313,035,536/172,017
  6. Step 6: Final answer
    x = 827,319.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.