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Finding the Third Proportional to 175,546.80 and 377,734.84

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Solution

The third proportional to 175,546.80 and 377,734.84 is: 812,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,546.80 : 377,734.84 = 377,734.84 : x
  2. Step 2: Convert to fraction form
    175,546.80/377,734.84 = 377,734.84/x
  3. Step 3: Cross multiply
    175,546.80x = 377,734.84 × 377,734.84
  4. Step 4: Simplify right side
    175,546.80x = 142,683,608,125.12
  5. Step 5: Solve for x
    x = 142,683,608,125.12/175,546.80
  6. Step 6: Final answer
    x = 812,795.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.