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Finding the Third Proportional to 76,464.50 and 179,904.50

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Solution

The third proportional to 76,464.50 and 179,904.50 is: 423,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.50 : 179,904.50 = 179,904.50 : x
  2. Step 2: Convert to fraction form
    76,464.50/179,904.50 = 179,904.50/x
  3. Step 3: Cross multiply
    76,464.50x = 179,904.50 × 179,904.50
  4. Step 4: Simplify right side
    76,464.50x = 32,365,629,120.25
  5. Step 5: Solve for x
    x = 32,365,629,120.25/76,464.50
  6. Step 6: Final answer
    x = 423,276.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.