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Finding the Third Proportional to 177,284 and 380,552

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Solution

The third proportional to 177,284 and 380,552 is: 816,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,284 : 380,552 = 380,552 : x
  2. Step 2: Convert to fraction form
    177,284/380,552 = 380,552/x
  3. Step 3: Cross multiply
    177,284x = 380,552 × 380,552
  4. Step 4: Simplify right side
    177,284x = 144,819,824,704
  5. Step 5: Solve for x
    x = 144,819,824,704/177,284
  6. Step 6: Final answer
    x = 816,880.40

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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.