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Finding the Third Proportional to 177,441 and 268,000.50

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Solution

The third proportional to 177,441 and 268,000.50 is: 404,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,441 : 268,000.50 = 268,000.50 : x
  2. Step 2: Convert to fraction form
    177,441/268,000.50 = 268,000.50/x
  3. Step 3: Cross multiply
    177,441x = 268,000.50 × 268,000.50
  4. Step 4: Simplify right side
    177,441x = 71,824,268,000.25
  5. Step 5: Solve for x
    x = 71,824,268,000.25/177,441
  6. Step 6: Final answer
    x = 404,778.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.