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Finding the Third Proportional to 184,505.72 and 301,281.19

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Solution

The third proportional to 184,505.72 and 301,281.19 is: 491,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,505.72 : 301,281.19 = 301,281.19 : x
  2. Step 2: Convert to fraction form
    184,505.72/301,281.19 = 301,281.19/x
  3. Step 3: Cross multiply
    184,505.72x = 301,281.19 × 301,281.19
  4. Step 4: Simplify right side
    184,505.72x = 90,770,353,941.41
  5. Step 5: Solve for x
    x = 90,770,353,941.41/184,505.72
  6. Step 6: Final answer
    x = 491,964.99

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.