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Finding the Third Proportional to 179,993.25 and 385,603.50

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Solution

The third proportional to 179,993.25 and 385,603.50 is: 826,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,993.25 : 385,603.50 = 385,603.50 : x
  2. Step 2: Convert to fraction form
    179,993.25/385,603.50 = 385,603.50/x
  3. Step 3: Cross multiply
    179,993.25x = 385,603.50 × 385,603.50
  4. Step 4: Simplify right side
    179,993.25x = 148,690,059,212.25
  5. Step 5: Solve for x
    x = 148,690,059,212.25/179,993.25
  6. Step 6: Final answer
    x = 826,086.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.