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Finding the Third Proportional to 188,384 and 409,168

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Solution

The third proportional to 188,384 and 409,168 is: 888,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,384 : 409,168 = 409,168 : x
  2. Step 2: Convert to fraction form
    188,384/409,168 = 409,168/x
  3. Step 3: Cross multiply
    188,384x = 409,168 × 409,168
  4. Step 4: Simplify right side
    188,384x = 167,418,452,224
  5. Step 5: Solve for x
    x = 167,418,452,224/188,384
  6. Step 6: Final answer
    x = 888,708.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.