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Finding the Third Proportional to 183,232 and 280,296

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Solution

The third proportional to 183,232 and 280,296 is: 428,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,232 : 280,296 = 280,296 : x
  2. Step 2: Convert to fraction form
    183,232/280,296 = 280,296/x
  3. Step 3: Cross multiply
    183,232x = 280,296 × 280,296
  4. Step 4: Simplify right side
    183,232x = 78,565,847,616
  5. Step 5: Solve for x
    x = 78,565,847,616/183,232
  6. Step 6: Final answer
    x = 428,777.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.