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Finding the Third Proportional to 176,965 and 388,922

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Solution

The third proportional to 176,965 and 388,922 is: 854,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,965 : 388,922 = 388,922 : x
  2. Step 2: Convert to fraction form
    176,965/388,922 = 388,922/x
  3. Step 3: Cross multiply
    176,965x = 388,922 × 388,922
  4. Step 4: Simplify right side
    176,965x = 151,260,322,084
  5. Step 5: Solve for x
    x = 151,260,322,084/176,965
  6. Step 6: Final answer
    x = 854,747.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.