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Finding the Third Proportional to 176,704 and 379,776

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Solution

The third proportional to 176,704 and 379,776 is: 816,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,704 : 379,776 = 379,776 : x
  2. Step 2: Convert to fraction form
    176,704/379,776 = 379,776/x
  3. Step 3: Cross multiply
    176,704x = 379,776 × 379,776
  4. Step 4: Simplify right side
    176,704x = 144,229,810,176
  5. Step 5: Solve for x
    x = 144,229,810,176/176,704
  6. Step 6: Final answer
    x = 816,222.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.