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Finding the Third Proportional to 303,156.50 and 505,230.75

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Solution

The third proportional to 303,156.50 and 505,230.75 is: 842,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,156.50 : 505,230.75 = 505,230.75 : x
  2. Step 2: Convert to fraction form
    303,156.50/505,230.75 = 505,230.75/x
  3. Step 3: Cross multiply
    303,156.50x = 505,230.75 × 505,230.75
  4. Step 4: Simplify right side
    303,156.50x = 255,258,110,745.56
  5. Step 5: Solve for x
    x = 255,258,110,745.56/303,156.50
  6. Step 6: Final answer
    x = 842,001.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.