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Finding the Third Proportional to 177,606 and 371,632

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Solution

The third proportional to 177,606 and 371,632 is: 777,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,606 : 371,632 = 371,632 : x
  2. Step 2: Convert to fraction form
    177,606/371,632 = 371,632/x
  3. Step 3: Cross multiply
    177,606x = 371,632 × 371,632
  4. Step 4: Simplify right side
    177,606x = 138,110,343,424
  5. Step 5: Solve for x
    x = 138,110,343,424/177,606
  6. Step 6: Final answer
    x = 777,622.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.