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Finding the Third Proportional to 176,212.13 and 384,186.38

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Solution

The third proportional to 176,212.13 and 384,186.38 is: 837,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,212.13 : 384,186.38 = 384,186.38 : x
  2. Step 2: Convert to fraction form
    176,212.13/384,186.38 = 384,186.38/x
  3. Step 3: Cross multiply
    176,212.13x = 384,186.38 × 384,186.38
  4. Step 4: Simplify right side
    176,212.13x = 147,599,170,735.64
  5. Step 5: Solve for x
    x = 147,599,170,735.64/176,212.13
  6. Step 6: Final answer
    x = 837,622.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.