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Finding the Third Proportional to 155,440.50 and 192,847.50

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Solution

The third proportional to 155,440.50 and 192,847.50 is: 239,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,440.50 : 192,847.50 = 192,847.50 : x
  2. Step 2: Convert to fraction form
    155,440.50/192,847.50 = 192,847.50/x
  3. Step 3: Cross multiply
    155,440.50x = 192,847.50 × 192,847.50
  4. Step 4: Simplify right side
    155,440.50x = 37,190,158,256.25
  5. Step 5: Solve for x
    x = 37,190,158,256.25/155,440.50
  6. Step 6: Final answer
    x = 239,256.55

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.