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Finding the Third Proportional to 177,330 and 384,803

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Solution

The third proportional to 177,330 and 384,803 is: 835,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,330 : 384,803 = 384,803 : x
  2. Step 2: Convert to fraction form
    177,330/384,803 = 384,803/x
  3. Step 3: Cross multiply
    177,330x = 384,803 × 384,803
  4. Step 4: Simplify right side
    177,330x = 148,073,348,809
  5. Step 5: Solve for x
    x = 148,073,348,809/177,330
  6. Step 6: Final answer
    x = 835,015.78

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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.