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Finding the Third Proportional to 176,058 and 380,172

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Solution

The third proportional to 176,058 and 380,172 is: 820,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,058 : 380,172 = 380,172 : x
  2. Step 2: Convert to fraction form
    176,058/380,172 = 380,172/x
  3. Step 3: Cross multiply
    176,058x = 380,172 × 380,172
  4. Step 4: Simplify right side
    176,058x = 144,530,749,584
  5. Step 5: Solve for x
    x = 144,530,749,584/176,058
  6. Step 6: Final answer
    x = 820,926.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.