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Finding the Third Proportional to 177,367.50 and 377,734.50

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Solution

The third proportional to 177,367.50 and 377,734.50 is: 804,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,367.50 : 377,734.50 = 377,734.50 : x
  2. Step 2: Convert to fraction form
    177,367.50/377,734.50 = 377,734.50/x
  3. Step 3: Cross multiply
    177,367.50x = 377,734.50 × 377,734.50
  4. Step 4: Simplify right side
    177,367.50x = 142,683,352,490.25
  5. Step 5: Solve for x
    x = 142,683,352,490.25/177,367.50
  6. Step 6: Final answer
    x = 804,450.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.