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Finding the Third Proportional to 227,572.50 and 327,804

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Solution

The third proportional to 227,572.50 and 327,804 is: 472,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,572.50 : 327,804 = 327,804 : x
  2. Step 2: Convert to fraction form
    227,572.50/327,804 = 327,804/x
  3. Step 3: Cross multiply
    227,572.50x = 327,804 × 327,804
  4. Step 4: Simplify right side
    227,572.50x = 107,455,462,416
  5. Step 5: Solve for x
    x = 107,455,462,416/227,572.50
  6. Step 6: Final answer
    x = 472,181.23

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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.