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Finding the Third Proportional to 227,809.50 and 362,059.50

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Solution

The third proportional to 227,809.50 and 362,059.50 is: 575,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,809.50 : 362,059.50 = 362,059.50 : x
  2. Step 2: Convert to fraction form
    227,809.50/362,059.50 = 362,059.50/x
  3. Step 3: Cross multiply
    227,809.50x = 362,059.50 × 362,059.50
  4. Step 4: Simplify right side
    227,809.50x = 131,087,081,540.25
  5. Step 5: Solve for x
    x = 131,087,081,540.25/227,809.50
  6. Step 6: Final answer
    x = 575,424.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.