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Finding the Third Proportional to 177,601.50 and 371,619

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Solution

The third proportional to 177,601.50 and 371,619 is: 777,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,601.50 : 371,619 = 371,619 : x
  2. Step 2: Convert to fraction form
    177,601.50/371,619 = 371,619/x
  3. Step 3: Cross multiply
    177,601.50x = 371,619 × 371,619
  4. Step 4: Simplify right side
    177,601.50x = 138,100,681,161
  5. Step 5: Solve for x
    x = 138,100,681,161/177,601.50
  6. Step 6: Final answer
    x = 777,587.36

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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.