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Finding the Third Proportional to 176,676 and 378,600

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Solution

The third proportional to 176,676 and 378,600 is: 811,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,676 : 378,600 = 378,600 : x
  2. Step 2: Convert to fraction form
    176,676/378,600 = 378,600/x
  3. Step 3: Cross multiply
    176,676x = 378,600 × 378,600
  4. Step 4: Simplify right side
    176,676x = 143,337,960,000
  5. Step 5: Solve for x
    x = 143,337,960,000/176,676
  6. Step 6: Final answer
    x = 811,304.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.