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Finding the Third Proportional to 177,496 and 382,054

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Solution

The third proportional to 177,496 and 382,054 is: 822,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,496 : 382,054 = 382,054 : x
  2. Step 2: Convert to fraction form
    177,496/382,054 = 382,054/x
  3. Step 3: Cross multiply
    177,496x = 382,054 × 382,054
  4. Step 4: Simplify right side
    177,496x = 145,965,258,916
  5. Step 5: Solve for x
    x = 145,965,258,916/177,496
  6. Step 6: Final answer
    x = 822,358.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.