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Finding the Third Proportional to 182,811.75 and 407,635.50

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Solution

The third proportional to 182,811.75 and 407,635.50 is: 908,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,811.75 : 407,635.50 = 407,635.50 : x
  2. Step 2: Convert to fraction form
    182,811.75/407,635.50 = 407,635.50/x
  3. Step 3: Cross multiply
    182,811.75x = 407,635.50 × 407,635.50
  4. Step 4: Simplify right side
    182,811.75x = 166,166,700,860.25
  5. Step 5: Solve for x
    x = 166,166,700,860.25/182,811.75
  6. Step 6: Final answer
    x = 908,949.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.