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Finding the Third Proportional to 177,771 and 330,323

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Solution

The third proportional to 177,771 and 330,323 is: 613,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,771 : 330,323 = 330,323 : x
  2. Step 2: Convert to fraction form
    177,771/330,323 = 330,323/x
  3. Step 3: Cross multiply
    177,771x = 330,323 × 330,323
  4. Step 4: Simplify right side
    177,771x = 109,113,284,329
  5. Step 5: Solve for x
    x = 109,113,284,329/177,771
  6. Step 6: Final answer
    x = 613,785.62

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.