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Finding the Third Proportional to 229,216.50 and 362,874

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Solution

The third proportional to 229,216.50 and 362,874 is: 574,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,216.50 : 362,874 = 362,874 : x
  2. Step 2: Convert to fraction form
    229,216.50/362,874 = 362,874/x
  3. Step 3: Cross multiply
    229,216.50x = 362,874 × 362,874
  4. Step 4: Simplify right side
    229,216.50x = 131,677,539,876
  5. Step 5: Solve for x
    x = 131,677,539,876/229,216.50
  6. Step 6: Final answer
    x = 574,467.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.