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Finding the Third Proportional to 176,785 and 381,582

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Solution

The third proportional to 176,785 and 381,582 is: 823,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,785 : 381,582 = 381,582 : x
  2. Step 2: Convert to fraction form
    176,785/381,582 = 381,582/x
  3. Step 3: Cross multiply
    176,785x = 381,582 × 381,582
  4. Step 4: Simplify right side
    176,785x = 145,604,822,724
  5. Step 5: Solve for x
    x = 145,604,822,724/176,785
  6. Step 6: Final answer
    x = 823,626.57

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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.