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Finding the Third Proportional to 176,722.70 and 381,466.34

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Solution

The third proportional to 176,722.70 and 381,466.34 is: 823,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,722.70 : 381,466.34 = 381,466.34 : x
  2. Step 2: Convert to fraction form
    176,722.70/381,466.34 = 381,466.34/x
  3. Step 3: Cross multiply
    176,722.70x = 381,466.34 × 381,466.34
  4. Step 4: Simplify right side
    176,722.70x = 145,516,565,453.58
  5. Step 5: Solve for x
    x = 145,516,565,453.58/176,722.70
  6. Step 6: Final answer
    x = 823,417.51

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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.