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Finding the Third Proportional to 177,680 and 384,885

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Solution

The third proportional to 177,680 and 384,885 is: 833,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,680 : 384,885 = 384,885 : x
  2. Step 2: Convert to fraction form
    177,680/384,885 = 384,885/x
  3. Step 3: Cross multiply
    177,680x = 384,885 × 384,885
  4. Step 4: Simplify right side
    177,680x = 148,136,463,225
  5. Step 5: Solve for x
    x = 148,136,463,225/177,680
  6. Step 6: Final answer
    x = 833,726.16

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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.