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Finding the Third Proportional to 229,466.25 and 330,500.25

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Solution

The third proportional to 229,466.25 and 330,500.25 is: 476,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,466.25 : 330,500.25 = 330,500.25 : x
  2. Step 2: Convert to fraction form
    229,466.25/330,500.25 = 330,500.25/x
  3. Step 3: Cross multiply
    229,466.25x = 330,500.25 × 330,500.25
  4. Step 4: Simplify right side
    229,466.25x = 109,230,415,250.06
  5. Step 5: Solve for x
    x = 109,230,415,250.06/229,466.25
  6. Step 6: Final answer
    x = 476,019.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.