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Finding the Third Proportional to 176,021.86 and 380,105.16

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Solution

The third proportional to 176,021.86 and 380,105.16 is: 820,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,021.86 : 380,105.16 = 380,105.16 : x
  2. Step 2: Convert to fraction form
    176,021.86/380,105.16 = 380,105.16/x
  3. Step 3: Cross multiply
    176,021.86x = 380,105.16 × 380,105.16
  4. Step 4: Simplify right side
    176,021.86x = 144,479,929,807.84
  5. Step 5: Solve for x
    x = 144,479,929,807.84/176,021.86
  6. Step 6: Final answer
    x = 820,806.75

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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.