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Finding the Third Proportional to 177,315 and 384,771

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Solution

The third proportional to 177,315 and 384,771 is: 834,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,315 : 384,771 = 384,771 : x
  2. Step 2: Convert to fraction form
    177,315/384,771 = 384,771/x
  3. Step 3: Cross multiply
    177,315x = 384,771 × 384,771
  4. Step 4: Simplify right side
    177,315x = 148,048,722,441
  5. Step 5: Solve for x
    x = 148,048,722,441/177,315
  6. Step 6: Final answer
    x = 834,947.54

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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.